{"id":12453,"date":"2018-03-09T08:58:19","date_gmt":"2018-03-09T08:58:19","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estructura-cominatoria-de-metricas-no-hamming\/"},"modified":"2018-03-09T08:58:19","modified_gmt":"2018-03-09T08:58:19","slug":"estructura-cominatoria-de-metricas-no-hamming","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/estructura-cominatoria-de-metricas-no-hamming\/","title":{"rendered":"Estructura cominatoria de m\u00e9tricas no hamming"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Edgar Mart\u00ednez Moro <\/strong><\/h2>\n<p>Los objetivos de esta memoria son clasificar los esquemas de asociaci\u00f3n para las m\u00e9tricas aritm\u00e9tica, mannheim y hexagonal as\u00ed como derivar sus principales propiedades m\u00e9tricas.  la memoria se compone de 4 cap\u00edtulos recogidos en dos partes, y dos ap\u00e9ndices, uno con algunos de los programas dise\u00f1ados en maple para la realizaci\u00f3n de los ejemplos y un segundo con aquellos aspectos m\u00e1s importantes sobre bases de gr\u00ed\u00b6bner para aquellos lectores no familiarizados con ellas.  en la primera parte (preliminares) se recoge el material b\u00e1sico sobre c\u00f3digos aritm\u00e9ticos y dos dimensionales, as\u00ed como de la principal herramienta a utilizar: los esquemas de asociaci\u00f3n en dos cap\u00edtulos independientes.  en la segunda parte (resultados), aportamos los resultados m\u00e1s relevantes de esta memoria. Pueden distinguirse dos cap\u00edtulos bien diferenciados tanto por su contenido como por las t\u00e9cnicas utilizadas:  el cap\u00edtulo tercer (estructura combinatoria) es de contendio combinatorio. en \u00e9l definimos los esquemas de asociaci\u00f3n de clark-liang, mannheim y hexagonal. la definici\u00f3n es an\u00e1loga en los tres casos; consideramos un grupo de isometr\u00edas g actuando sobre el conjunto de s\u00edmbolos x para la m\u00e9trica correspondientes (artim\u00e9tica, mannheim o hexagonal) tal que la acci\u00f3n sea transitiva. Definimos las relaciones del esquema de asociaci\u00f3n como los orbitales de dicha acci\u00f3n. en los tres casos caracterizamos cu\u00e1ndo el esquema es primitivo o no (toremas 11,12,13). Mostramos como este hecho tiene que ver con la factorizaci\u00f3n del n\u00famero de puntos del esquema en su correspondiente dominio  (enteros, enteros gaussianos o de eisenstein-jacobi respectivamente). Posteriormente mostramos la estructura del \u00e1lgebra de matrices asociada al esquema de asociaci\u00f3n (\u00e1lgebra de bose-mesner) en t\u00e9rminos de matrices circulantes por bloques (secci\u00f3n 3.2.2, y lemas 3.2 y 3.4) y en los casos no primitivos mostrmaos c\u00f3mo calcular sus cocientes (seccione<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estructura cominatoria de m\u00e9tricas no hamming<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estructura cominatoria de m\u00e9tricas no hamming <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Edgar Mart\u00ednez Moro <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Valladolid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 20\/07\/2001<\/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> Gal\u00e1n Sim\u00f3n Francisco Javier<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Juan  gabriel Tena ayuso <\/li>\n<li>santos Gonz\u00e1lez jim\u00e9nez (vocal)<\/li>\n<li>josep Rifa coma (vocal)<\/li>\n<li>policarpo Abascal fuentes (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Edgar Mart\u00ednez Moro Los objetivos de esta memoria son clasificar los esquemas de asociaci\u00f3n para las m\u00e9tricas [&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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