{"id":8896,"date":"1995-01-01T00:00:00","date_gmt":"1995-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1995\/01\/01\/tolerancia-de-estructuras-geometricas-y-combinatorias\/"},"modified":"1995-01-01T00:00:00","modified_gmt":"1995-01-01T00:00:00","slug":"tolerancia-de-estructuras-geometricas-y-combinatorias","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/tolerancia-de-estructuras-geometricas-y-combinatorias\/","title":{"rendered":"Tolerancia de estructuras geometricas y combinatorias."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Ramos Alonso Pedro Antonio <\/strong><\/h2>\n<p>En esta tesis se introduce el concepto de tolerancia de una estructura o propiedad, geometrica o combinatoria, definida sobre un cierto conjunto s. La tolerancia es una medida de la estabilidad de dicha estructura o propiedad bajo perturbaciones del conjunto s. El calculo de la tolerancia es util cuando los datos de entrada estan sujetos a errores o en el mantenimiento dinamico de estructuras asociadas a objetos en movimiento.  el trabajo comienza con el calculo de la tolerancia de la triangulacion de delaunay de un conjunto de puntos; esta estructura se utiliza tambien para ejemplificar variantes del concepto de tolerancia, como la tolerancia local o la region de estabilidad.  a continuacion se estudian mas ejemplos de grafos de proximidad, siendo de particular importancia el arbol generador minimo euclideo de un conjunto de puntos y el grafo de todos los vecinos mas cercanos. En todos los casos se dan algoritmos que permiten el calculo de la tolerancia en el mismo tiempo asintotico que el propio grafo y en la mayoria se demuestra que son asintoticamente optimos.  finalmente, se muestra como el concepto de tolerancia sirve para definir una medida de calidad para las soluciones de un problema: la de mayor tolerancia a perturbaciones.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Tolerancia de estructuras geometricas y combinatorias.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Tolerancia de estructuras geometricas y combinatorias. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Ramos Alonso Pedro Antonio <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1995<\/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>Manuel Abellanas Oar<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Gregorio Hern\u00e1ndez Pe\u00f1alver <\/li>\n<li>Marc Noy Serrano (vocal)<\/li>\n<li>Carme Torras Gen\u00eds (vocal)<\/li>\n<li>Tomas Recio Mu\u00f1iz (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ramos Alonso Pedro Antonio En esta tesis se introduce el concepto de tolerancia de una estructura o [&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 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