{"id":3284,"date":"2013-05-02T08:19:28","date_gmt":"2013-05-02T08:19:28","guid":{"rendered":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/?p=3284"},"modified":"2013-05-02T08:19:28","modified_gmt":"2013-05-02T08:19:28","slug":"resena-graph-theory","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/resena-graph-theory\/","title":{"rendered":"Rese\u00f1a: Graph theory"},"content":{"rendered":"<p>Se ha publicado un nuevo art\u00edculo de razonamiento formalizado en <a href=\"http:\/\/www.cl.cam.ac.uk\/research\/hvg\/Isabelle\/index.html\">Isabelle\/HOL<\/a> titulado <a href=\"http:\/\/afp.sourceforge.net\/browser_info\/current\/HOL\/HOL-Library\/Graph_Theory\/document.pdf\">Graph theory<\/a>.<\/p>\n<p>Su autor es <a href=\"http:\/\/www21.in.tum.de\/~noschinl\">Lars Noschinski<\/a> (de la Univrsidad T\u00e9cnica de Munich).<\/p>\n<p>Su resumen es<\/p>\n<blockquote><p>\nThis development provides a formalization of directed graphs, supporting (labelled) multi-edges and infinite graphs. A polymorphic edge type allows edges to be treated as pairs of vertices, if multi-edges are not required. Formalized properties are i.a. walks (and related concepts), connectedness and subgraphs and basic properties of isomorphisms.<\/p>\n<p>This formalization is used to prove characterizations of Euler Trails, Shortest Paths and Kuratowski subgraphs.<\/p>\n<p>Definitions and nomenclature are based on <a href=\"http:\/\/www1.imada.sdu.dk\/~jbj\/DM201\/main.pdf\">Digraphs: Theory, algorithms and applications<\/a> (by J. Bang-Jensen and G. Gutin).\n<\/p><\/blockquote>\n<p>El c\u00f3digo de las correspondientes teor\u00edas en Isabelle\/HOL se encuentra <a href=\"http:\/\/afp.sourceforge.net\/entries\/Graph_Theory.shtml\">aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Se ha publicado un nuevo art\u00edculo de razonamiento formalizado en Isabelle\/HOL titulado Graph theory. Su autor es Lars Noschinski (de la Univrsidad T\u00e9cnica de Munich). Su resumen es This development provides a formalization of directed graphs, supporting (labelled) multi-edges and infinite graphs. A polymorphic edge type allows edges to be treated as pairs of vertices,&#8230;<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false},"categories":[1],"tags":[144,273,285],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_likes_enabled":false,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/3284"}],"collection":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/comments?post=3284"}],"version-history":[{"count":1,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/3284\/revisions"}],"predecessor-version":[{"id":3285,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/3284\/revisions\/3285"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/media?parent=3284"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/categories?post=3284"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/tags?post=3284"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}