{"id":124681,"date":"2024-03-26T16:16:39","date_gmt":"2024-03-26T08:16:39","guid":{"rendered":"https:\/\/ocw.nycu.edu.tw\/?post_type=course_page&#038;p=124681"},"modified":"2024-11-18T10:22:12","modified_gmt":"2024-11-18T02:22:12","slug":"introduction-to-combinatorics-109","status":"publish","type":"course_page","link":"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-science\/department-of-applied-mathematics\/introduction-to-combinatorics-109","title":{"rendered":"Introduction to combinatorics-109 Academic Year | Department of Applied Mathematics Prof. Hung-Lin Fu"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"124681\" class=\"elementor elementor-124681\">\n\t\t\t\t\t\t\t\t\t<section class=\"penci-section penci-disSticky penci-structure-10 elementor-section elementor-top-section elementor-element elementor-element-90a0113 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"90a0113\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"penci-ercol-100 penci-ercol-order-1 penci-sticky-ct    elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-78bf394\" data-id=\"78bf394\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"penci-section penci-disSticky penci-structure-20 elementor-section elementor-top-section elementor-element elementor-element-0025485 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0025485\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"penci-ercol-50 penci-ercol-order-1 penci-sticky-ct    elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-0446ed9\" data-id=\"0446ed9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2f5840a elementor-widget elementor-widget-penci-info-box\" data-id=\"2f5840a\" data-element_type=\"widget\" data-widget_type=\"penci-info-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div id=\"penci_info_box_37927\" class=\"penci-block-vc penci-info-box penci-ibox-float-left penci-view-default penci-shape-circle\">\r\n\t\t\t<div class=\"penci-ibox-inner\">\r\n\t\t\t\t\t\t\t\t<div class=\"penci-ibox-icon penci-ibox-icon--icon penci-icon penci-tibox-text\"><span class=\"penci-ibox-icon-fa\"><\/span><\/div>\t\t\t\t<div class=\"penci-ibox-content-wrap\">\r\n\t\t\t\t\t\t\t\t\t\t<h3 class=\"penci-ibox-title\">Introduction to combinatorics \u2013 109 Academic Year<\/h3>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c6381f4 elementor-widget elementor-widget-eael-adv-tabs\" data-id=\"c6381f4\" data-element_type=\"widget\" data-widget_type=\"eael-adv-tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t        <div id=\"eael-advance-tabs-c6381f4\" class=\"eael-advance-tabs eael-tabs-horizontal eael-tab-auto-active\" data-tabid=\"c6381f4\">\n            <div class=\"eael-tabs-nav\">\n                <ul class=\"eael-tab-inline-icon\">\n                                            <li id=\"home\" class=\"active-default eael-tab-item-trigger\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"home-tab\" aria-expanded=\"false\">\n                            \n                                                                <svg class=\"e-font-icon-svg e-fas-home\" 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8v16z\"><\/path><\/svg>                                                            \n                                                            <span class=\"eael-tab-title  title-after-icon\">Course Syllabus<\/span>                            \n                                                    <\/li>\n                                            <li id=\"calendar\" class=\"inactive eael-tab-item-trigger\" aria-selected=\"false\" data-tab=\"4\" role=\"tab\" tabindex=\"-1\" aria-controls=\"calendar-tab\" aria-expanded=\"false\">\n                            \n                                                                <svg class=\"e-font-icon-svg e-fas-book\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M448 360V24c0-13.3-10.7-24-24-24H96C43 0 0 43 0 96v320c0 53 43 96 96 96h328c13.3 0 24-10.7 24-24v-16c0-7.5-3.5-14.3-8.9-18.7-4.2-15.4-4.2-59.3 0-74.7 5.4-4.3 8.9-11.1 8.9-18.6zM128 134c0-3.3 2.7-6 6-6h212c3.3 0 6 2.7 6 6v20c0 3.3-2.7 6-6 6H134c-3.3 0-6-2.7-6-6v-20zm0 64c0-3.3 2.7-6 6-6h212c3.3 0 6 2.7 6 6v20c0 3.3-2.7 6-6 6H134c-3.3 0-6-2.7-6-6v-20zm253.4 250H96c-17.7 0-32-14.3-32-32 0-17.6 14.4-32 32-32h285.4c-1.9 17.1-1.9 46.9 0 64z\"><\/path><\/svg>                                                            \n                                                            <span class=\"eael-tab-title  title-after-icon\">Course Handout<\/span>                            \n                                                    <\/li>\n                                    <\/ul>\n            <\/div>\n            \n            <div class=\"eael-tabs-content\">\n\t\t        \n                    <div id=\"home-tab\" class=\"clearfix eael-tab-content-item active-default\" data-title-link=\"home-tab\">\n\t\t\t\t        \t\t\t\t\t        <p><style type=\"text\/css\">\n.\u3002 {<br \/>\tfont-size: 18px;<br \/>}<br \/>.\u3002 {<br \/>\tfont-size: 18px;<br \/>}<br \/>.\u3002 {<br \/>\tfont-size: 18px;<br \/>}<br \/><\/style><\/p><p style=\"margin-bottom: 10px; line-height: 28px; color: #101010; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4, Arial; font-size: 16px;\">This course is provided by the <a href=\"https:\/\/www.math.nycu.edu.tw\/\" target=\"_blank\" rel=\"noopener\">NYCU Department of Applied Mathematics<\/a> .<\/p><p class=\"text\">This is an introductory course of Combinatorics. Based on the courses we have in this department for the first semester, we shall focus on the introduction of the following topics: combinatorial optimization, enumerative combinatorics and additive combinatorics.<\/p><p>\u00a0<\/p><p><span style=\"color: #3366ff; font-size: 16px;\">Textbook\uff1a<\/span><\/p><p><span style=\"font-size: 16px;\">Lecture Notes by Hung-Lin Fu.<\/span><\/p><p><span style=\"color: #ff00ff;\">For perfect learning results, please buy textbooks!<\/span><\/p><p>\u00a0<\/p><table style=\"color: #101010; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4, Arial; font-size: 16px;\" border=\"1\"><tbody><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\" width=\"100\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">Instructor(s)<\/span><\/span><\/th><td bgcolor=\"#EEEEEE\" width=\"518\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0Department of Applied Mathematics Prof. Hung-Lin Fu<\/span><\/span><\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">Course Credits<\/span><\/span><\/th><td class=\"text\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a03\u00a0Credits<\/span><\/span><\/span><\/span><\/td><\/tr><tr><th class=\"text\" style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">Academic Year<\/span><\/span><\/th><td class=\"text\" bgcolor=\"#EEEEEE\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0109 Academic Year<\/span><\/span><\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">Level<\/span><\/span><\/th><td class=\"text\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0Master student<\/span><\/span><\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">Prior Knowledge<\/span><\/span><\/th><td class=\"text\" bgcolor=\"#EEEEEE\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0Linear Algebra,\u00a0 Discrete Mathematics<\/span><\/span><\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">Related Resources<\/span><\/span><\/th><td class=\"text\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0<a href=\"#video\">Course Video <\/a>\u00a0 \u00a0<a href=\"#syllabus\">Course Syllabus<\/a>\u00a0 \u00a0<a href=\"#calendar\">Course Handout<\/a><\/span><\/span><\/span><\/span><\/td><\/tr><\/tbody><\/table>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"video-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"video-tab\">\n\t\t\t\t        \t\t\t\t\t        <p>\n<table id=\"tablepress-569\" class=\"tablepress tablepress-id-569\">\n<thead>\n<tr class=\"row-1 odd\">\n\t<th class=\"column-1\">Week<\/th><th class=\"column-2\">Course Content<\/th><th class=\"column-3\">Course Video<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-hover\">\n<tr class=\"row-2 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Introduction to Combinatorics<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124694\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-3 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Subgraphs in Simple Graphs 1<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124706\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-4 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Subgraphs in Simple Graphs 2<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124716\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-5 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Eulerian Circuits and Hamilton Cycles 1<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124727\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-6 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Eulerian Circuits and Hamilton Cycles 2<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124737\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-7 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Connectivity<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124748\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-8 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Topological Graph Theory<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124758\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-9 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Vertex Coloring<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124768\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-10 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Ramsey Theory 1<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124778\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-11 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Ramsey Theory 2<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124788\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-12 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Edge-coloring<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124798\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-13 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Extremal Set Theory<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124808\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-14 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Block Design 1<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124818\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-15 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Block Design 2<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124828\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-16 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Latin Square 1<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124841\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-17 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Latin Square 2<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124851\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-18 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Latin Square 3<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124861\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-19 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Latin Square 4<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124871\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-20 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Principle of Counting 1<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124881\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-21 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Principle of Counting 2 &amp; Generating Function 1<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124891\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-22 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Generating Function 2<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124901\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-23 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Sum set in Additive Combinatorics 1<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124911\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-24 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Sum set in Additive Combinatorics 2<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124921\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-25 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Sum set in Additive Combinatorics 3<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124931\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-26 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Probabilistic Method (Graphs)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124941\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-27 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Random Graphs<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124951\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-28 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Combinatorial Optimization 1<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124961\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-29 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Combinatorial Optimization 2<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124971\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-30 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Application of max-flow min-cut theorem<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=124982\">Watch Online<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\u00a0<\/p>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"syllabus-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"syllabus-tab\">\n\t\t\t\t        \t\t\t\t\t        <p class=\"title\"><strong>\u8ab2\u7a0b\u76ee\u6a19<\/strong><\/p><p class=\"text\">This is an introductory course of Combinatorics. Based on the courses we have in this department for the first semester, we shall focus on the introduction of the following topics: combinatorial optimization, enumerative combinatorics and additive combinatorics.<\/p><p>\u00a0<\/p><p class=\"title\"><strong>\u8ab2\u7a0b\u7ae0\u7bc0<\/strong><\/p><table border=\"1\" cellspacing=\"0\"><tbody><tr class=\"stitle\"><td bgcolor=\"#e4d8b0\"><strong> \u55ae\u5143\u4e3b\u984c<\/strong><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u7d44\u5408\u5b78\u5c0e\u8ad6\u7c21\u4ecb<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7c21\u55ae\u5716\u4e2d\u7684\u5b50\u5716 1<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u7c21\u55ae\u5716\u4e2d\u7684\u5b50\u5716 2<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u6b50\u62c9\u8ff4\u8def\u548c\u6f22\u7c73\u723e\u9813\u5708 1<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u6b50\u62c9\u8ff4\u8def\u548c\u6f22\u7c73\u723e\u9813\u5708 2<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u9023\u901a\u5ea6<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u62d3\u64b2\u5716\u8ad6<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u9ede\u8457\u8272<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u62c9\u59c6\u9f4a\u5b9a\u7406 1<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u62c9\u59c6\u9f4a\u5b9a\u7406 2<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u908a\u8457\u8272<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u6975\u96c6\u5408\u8ad6<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u5340\u7d44\u8a2d\u8a08 1<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u5340\u7d44\u8a2d\u8a08 2<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u62c9\u4e01\u65b9\u9663 1<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u62c9\u4e01\u65b9\u9663 2<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u62c9\u4e01\u65b9\u9663 3<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u62c9\u4e01\u65b9\u9663 4<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u53cd\u8b49\u6b50\u62c9\u731c\u60f3<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u8a08\u6578\u539f\u74061<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u8a08\u6578\u539f\u7406 2 &amp;\u751f\u6210\u51fd\u6578 1<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u751f\u6210\u51fd\u6578 2<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u52a0\u6cd5\u7d44\u5408\u5b78 1<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u52a0\u6cd5\u7d44\u5408\u5b78 2<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u52a0\u6cd5\u7d44\u5408\u5b78 3<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u5728\u5716\u8ad6\u4e0a\u7684\u6a5f\u7387\u65b9\u6cd5<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u96a8\u6a5f\u5716<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7d44\u5408\u6700\u512a\u5316 1<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u7d44\u5408\u6700\u512a\u5316 2<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u6700\u5927\u6d41\u6700\u5c0f\u5272\u5b9a\u7406\u7684\u61c9\u7528<\/span><\/td><\/tr><\/tbody><\/table><p>\u00a0<\/p><p class=\"title\"><strong>\u8ab2\u7a0b\u66f8\u76ee<\/strong><\/p><p class=\"text\">Lecture Notes by Hung-Lin Fu.<\/p>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"calendar-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"calendar-tab\">\n\t\t\t\t        \t\t\t\t\t        <strong class=\"title\">\u8ab2\u7a0b\u8b1b\u7fa9 Course Handout<\/strong>\n<table border=\"1\" cellspacing=\"0\">\n<tbody>\n<tr class=\"stitle\">\n<td bgcolor=\"#e4d8b0\"><strong> \u7ae0\u7bc0<\/strong><\/td>\n<td bgcolor=\"#e4d8b0\"><strong> \u4e0b\u8f09\u9023\u7d50<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span class=\"text\">Introductory Combinatorics<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/Introductory Combinatorics.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L00<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec00.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L01<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec01.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L02<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec01.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L03<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec03.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L04<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec04.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L05<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec05.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L06<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec06.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L07<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec07.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L08<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/icb092\/handout\/lec08.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L09<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec09.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L10<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec10.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L11<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec11.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L12<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec12.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L13<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec13.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L14<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec14.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L15<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec15.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span style=\"font-family: Liberation Serif, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Combinatorics, L16<\/span><\/span><\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/icb092\/handout\/lec16.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\t\t\t\t                            <\/div>\n\t\t                    <\/div>\n        <\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d7723a8 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"d7723a8\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.13.3 - 28-05-2023 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class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-123746\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/speech-of-general-education-center\" class=\"elementor-item\">Contemporary Civilization<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-128240\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/reading-of-classic-masterpiece\" class=\"elementor-item\">Reading of Classic Masterpiece<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-123745\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/course-of-general-education-center-2\" class=\"elementor-item\">Course of General Education Center<\/a><\/li>\n<\/ul>\t\t\t<\/nav>\n\t\t\t\t\t<div class=\"elementor-menu-toggle\" role=\"button\" tabindex=\"0\" aria-label=\"\u9078\u55ae\u5207\u63db\" 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tabindex=\"-1\">College of Humanities Arts and Social Sciences<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-5378\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-hakka-affair-culture\" class=\"elementor-item\" tabindex=\"-1\">College of Hakka Affair Culture<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-118070\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/school-of-law\" class=\"elementor-item\" tabindex=\"-1\">School of Law<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-118069\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/school-of-nursing-2\" class=\"elementor-item\" tabindex=\"-1\">School of Nursing<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-118071\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-photonics\" class=\"elementor-item\" tabindex=\"-1\">College of Photonics<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-125874\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-biomedical-science-and-engineering\" class=\"elementor-item\" tabindex=\"-1\">College of Biomedical Science and Engineering<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-132738\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-life-sciences-en\" class=\"elementor-item\" tabindex=\"-1\">College of Life Sciences<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-141797\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/colege-of-medicine-en\" class=\"elementor-item\" tabindex=\"-1\">College of Medicine<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-118072\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/course-of-chinese-center\" class=\"elementor-item\" tabindex=\"-1\">Course of Chinese Center<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-120431\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/liberal-arts-college\" class=\"elementor-item\" tabindex=\"-1\">Forum Of Liberal Arts<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-123746\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/speech-of-general-education-center\" class=\"elementor-item\" tabindex=\"-1\">Contemporary Civilization<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-128240\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/reading-of-classic-masterpiece\" class=\"elementor-item\" tabindex=\"-1\">Reading of Classic Masterpiece<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-123745\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/course-of-general-education-center-2\" class=\"elementor-item\" tabindex=\"-1\">Course of General Education Center<\/a><\/li>\n<\/ul>\t\t\t<\/nav>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Introduction t&hellip;<\/p>\n","protected":false},"featured_media":124992,"parent":5277,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","format":"standard","meta":{"footnotes":""},"categories":[242],"tags":[341,345,347,10378],"class_list":["post-124681","course_page","type-course_page","status-publish","format-standard","has-post-thumbnail","hentry","category-department-of-applied-mathematics-en","tag-label-all-course-en","tag-label-college-of-science-en","tag-label-am-en","tag-label-introduction-to-combinatorics-year-109-en"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Introduction to combinatorics-109 Academic Year | Department of Applied Mathematics Prof. Hung-Lin Fu - NYCU OCW<\/title>\n<meta name=\"description\" content=\"Introduction to combinatorics \u2013 109 Academic Year Course Homepage Course Video Course Syllabus Course Handout This course is provided by the NYCU\" 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