{"id":70760,"date":"2018-03-09T23:15:17","date_gmt":"2018-03-09T23:15:17","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/polinomio-de-tutte-de-teselaciones-regulares\/"},"modified":"2018-03-09T23:15:17","modified_gmt":"2018-03-09T23:15:17","slug":"polinomio-de-tutte-de-teselaciones-regulares","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/polinomio-de-tutte-de-teselaciones-regulares\/","title":{"rendered":"Polinomio de tutte de teselaciones regulares"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Delia Garijo Royo <\/strong><\/h2>\n<p>En eta memoria estudiamos diversos aspectos del polimonio de tutte de una teselaci\u00f3n regular comenzamos introduciendo algunas definiciones y rsultados significativos de teor\u00eda de grafos.  en primer lugar nos centramos en el c\u00e1lculo del polinomio de tutte de teselaciones o masaicos del plano mediante cuadrados, tri\u00e1ngulos , hex\u00e1gonos y las posibles combinaciones de estos tres tipos de pol\u00edgones regulares, adem\u00e1s de estudiar diversos problemas de enumeraci\u00f3n en varias \u00e1reas de matem\u00e1ticas relacionados con dicho polinomio.Ofrecemos un sistema que permite codificar estructuras en principio tan dispares como las teselaciones regualeres del plano, y un algoritmo efectivo que automatiza la llamada definici\u00f3n recursiva del polinomio de tutte, y que permite el c\u00e1lculo de dicho polinomio de fragmentos de teselaciones de grandes dimensiones .Hacemos hincapi\u00e9 en la importancia de este algoritmo ya que permite por primera vez alcanza dimendiones considerables, no solo en fragmentos de la malla cuadrada, sino en fragmentos de cualquier teselaci\u00f3n plana mediante cuadrados , tri\u00e1ngulos y hex\u00e1gonos.Este avance supone el poder mejorar cotas de l\u00edmites aasint\u00f3ticos y el poder obtener importantes resultados en problemas de enumeraci\u00f3n en teor\u00eda de grafos: el c\u00e1lculo de orentaciones ac\u00edclicas y el c\u00e1lculo de n\u00fameros de whitney; y en dos problemas cl\u00e1sicos de geometr\u00eda , el c\u00e1lculo del n\u00famero de celdas en que arreglos de hiperplanos dividen a espacios eucl\u00eddeos de altas dimensiones y el c\u00e1culo del n\u00famero de v\u00e9rtices de un zonotopo.  dejando a un lado los problemas de enumeraci\u00f3n, nos preguntamos hasta qu\u00e9 punto el polinomio de tutte determina el grafo al cual est\u00e1 asociado.Esta cuesti\u00f3n surge debido a la cantidad de invariantes asociados a un grafo al cual est\u00e1 asociado.Esta cuesti\u00f3n surge debido a la cantidad de invariantes asociados a un grafo contenidos en el polinomio de tutte.En esta memoria demostramos la existenci<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Polinomio de tutte de teselaciones regulares<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Polinomio de tutte de teselaciones regulares <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Delia Garijo Royo <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 14\/10\/2004<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li> Revuelta Marchena M. Pastora<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Casto jim\u00e9nes Francisco Jes\u00fas <\/li>\n<li>isidoro Gitler goldwain (vocal)<\/li>\n<li>Emilio Briales morales (vocal)<\/li>\n<li>Luis Boza prieto (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Delia Garijo Royo En eta memoria estudiamos diversos aspectos del polimonio de tutte de una teselaci\u00f3n regular [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[2809,583,10899,126,10522,10715],"tags":[154398,154396,58668,154399,10830,154397],"class_list":["post-70760","post","type-post","status-publish","format-standard","hentry","category-algebra","category-geometria","category-geometrias-finitas","category-matematicas","category-polinomios","category-sevilla","tag-casto-jimenes-francisco-jesus","tag-delia-garijo-royo","tag-emilio-briales-morales","tag-isidoro-gitler-goldwain","tag-luis-boza-prieto","tag-revuelta-marchena-m-pastora"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/70760","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=70760"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/70760\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=70760"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=70760"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=70760"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}