{"id":105547,"date":"2010-10-12T00:00:00","date_gmt":"2010-10-12T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/digrafos-de-diferencias-y-familias-de-sumas-parciales-aplicados-a-la-construccion-de-digrafos-m-cayley-y-grafos-dirigidos-fuertemente-regulares\/"},"modified":"2010-10-12T00:00:00","modified_gmt":"2010-10-12T00:00:00","slug":"digrafos-de-diferencias-y-familias-de-sumas-parciales-aplicados-a-la-construccion-de-digrafos-m-cayley-y-grafos-dirigidos-fuertemente-regulares","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/algebra\/digrafos-de-diferencias-y-familias-de-sumas-parciales-aplicados-a-la-construccion-de-digrafos-m-cayley-y-grafos-dirigidos-fuertemente-regulares\/","title":{"rendered":"Digrafos de diferencias y familias de sumas parciales aplicados a la construcci\u00f3n de digrafos m-cayley y grafos dirigidos fuertemente regulares"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Alexander Araluce Rotaeche <\/strong><\/h2>\n<p>Introducimos un tipo de grafos dirigidos, que generalizan de forma natural a los digrafos de cayley, que llamamos digrafos de diferencias, y que admiten grupos automorfismos cuya acci\u00f3n sobre los v\u00e9rtices es semiregular. Establecemos cotas sobre el grado de conectividad por aristas de este tipo de digrafos. Estudiamos adem\u00e1s cu\u00e1les son las condiciones necesarias y suficientes para que estos digrafos sean fuertemente regulares. Definimos una nueva estructura combinatoria, a la cual llamamos familia de sumas parciales. Usando diferentes t\u00e9cnicas, obtenemos distintas familias de sumas parciales que originan, en muchos casos, digrafos fuertemente regulares con par\u00e1metros desconocidos hasta la fecha. Destacamos especialmente en nuestro estudio los digrafos en los que la acci\u00f3n semiregular tiene \u00fanicamente dos \u00f3rbitas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Digrafos de diferencias y familias de sumas parciales aplicados a la construcci\u00f3n de digrafos m-cayley y grafos dirigidos fuertemente regulares<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Digrafos de diferencias y familias de sumas parciales aplicados a la construcci\u00f3n de digrafos m-cayley y grafos dirigidos fuertemente regulares <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Alexander Araluce Rotaeche <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Pa\u00eds vasco\/euskal herriko unibertsitatea<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 10\/12\/2010<\/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>Luis Martinez Fern\u00e1ndez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Vera lopez <\/li>\n<li>Juan  gabriel Tena ayuso (vocal)<\/li>\n<li>aleksander Malnic (vocal)<\/li>\n<li>dragan Marusic (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Alexander Araluce Rotaeche Introducimos un tipo de grafos dirigidos, que generalizan de forma natural a los digrafos [&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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