{"id":1520,"date":"2019-09-10T16:45:27","date_gmt":"2019-09-10T23:45:27","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&#038;p=1520"},"modified":"2019-09-11T22:51:10","modified_gmt":"2019-09-12T05:51:10","slug":"antc-talk-sin-min-lee-sjsu","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/antc-talk-sin-min-lee-sjsu\/","title":{"rendered":"Introduction to theory of Euclid graphs (Sin-Min Lee, SJSU)"},"content":{"rendered":"<p class=\"x_MsoNormal\">In Euclidean geometry, the sum of \u00a0two sides of any \u00a0triangle is greater than the third side. We \u00a0introduce this idea to labeling of graphs.\u00a0A (p,q)-graph G=(V,E) is said to be in Euclid(0) if there exists a bijection f: V(G) &#8211;&gt; {1,\u2026,p} such that for each induced C3 subgraph with vertices {v1,v2,v3} with f(v1)&lt;f(v2)&lt;f(v3) we have<\/p>\n<p class=\"x_gmail-MsoListParagraph\">f(v1)+f(v2)&gt;f(v3) .<\/p>\n<p class=\"x_MsoNormal\">For k <u>&gt;<\/u> 1, G is in Euclid(k) class of graphs if there exits smallest k such that G U Nk\u00a0in\u00a0Euclid(0), where Nk is the null graph with k isolated points. We exhibit infinitely many graphs in Euclid(k) for each k.\u00a0The talk is target to general audiences.\u00a0Several open problems will posed for future research. The report is the joint work with several high school, undergraduate students and researchers.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In Euclidean geometry, the sum of \u00a0two sides of any \u00a0triangle is greater than the third side. We \u00a0introduce this idea to labeling of graphs.\u00a0A (p,q)-graph G=(V,E) is said to [&hellip;]<\/p>\n","protected":false},"author":73,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","_tec_slr_enabled":"","_tec_slr_layout":""},"tags":[],"tribe_events_cat":[13],"class_list":["post-1520","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-antc-seminar","cat_antc-seminar"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Introduction to theory of Euclid graphs (Sin-Min Lee, SJSU) - Claremont Center for the Mathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/colleges.claremont.edu\/ccms\/event\/antc-talk-sin-min-lee-sjsu\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Introduction to theory of Euclid graphs (Sin-Min Lee, SJSU) - Claremont Center for the Mathematical Sciences\" \/>\n<meta property=\"og:description\" content=\"In Euclidean geometry, the sum of \u00a0two sides of any \u00a0triangle is greater than the third side. We \u00a0introduce this idea to labeling of graphs.\u00a0A (p,q)-graph G=(V,E) is said to [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/colleges.claremont.edu\/ccms\/event\/antc-talk-sin-min-lee-sjsu\/\" \/>\n<meta property=\"og:site_name\" content=\"Claremont Center for the Mathematical Sciences\" \/>\n<meta property=\"article:modified_time\" content=\"2019-09-12T05:51:10+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/event\/antc-talk-sin-min-lee-sjsu\/\",\"url\":\"https:\/\/colleges.claremont.edu\/ccms\/event\/antc-talk-sin-min-lee-sjsu\/\",\"name\":\"Introduction to theory of Euclid graphs (Sin-Min Lee, SJSU) - Claremont Center for the Mathematical Sciences\",\"isPartOf\":{\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/#website\"},\"datePublished\":\"2019-09-10T23:45:27+00:00\",\"dateModified\":\"2019-09-12T05:51:10+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/event\/antc-talk-sin-min-lee-sjsu\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/colleges.claremont.edu\/ccms\/event\/antc-talk-sin-min-lee-sjsu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/event\/antc-talk-sin-min-lee-sjsu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/colleges.claremont.edu\/ccms\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Events\",\"item\":\"https:\/\/colleges.claremont.edu\/ccms\/events\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Introduction to theory of Euclid graphs (Sin-Min Lee, SJSU)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/#website\",\"url\":\"https:\/\/colleges.claremont.edu\/ccms\/\",\"name\":\"Claremont Center for the Mathematical Sciences\",\"description\":\"Proudly Serving the Math Community at the Claremont Colleges Since 2007\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/colleges.claremont.edu\/ccms\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Introduction to theory of Euclid graphs (Sin-Min Lee, SJSU) - Claremont Center for the Mathematical Sciences","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/colleges.claremont.edu\/ccms\/event\/antc-talk-sin-min-lee-sjsu\/","og_locale":"en_US","og_type":"article","og_title":"Introduction to theory of Euclid graphs (Sin-Min Lee, SJSU) - Claremont Center for the Mathematical Sciences","og_description":"In Euclidean geometry, the sum of \u00a0two sides of any \u00a0triangle is greater than the third side. 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