Nonexistence of almost Moore digraphs of diameter four

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.contributor	Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres
dc.contributor.author	Conde Colom, Josep
dc.contributor.author	Gimbert Quintilla, Joan
dc.contributor.author	González Rovira, Josep
dc.contributor.author	Miret Biosca, Josep Maria
dc.contributor.author	Moreno Chiral, Ramiro
dc.date	2013-03-31
dc.identifier.citation	Conde, J. [et al.]. Nonexistence of almost Moore digraphs of diameter four. "Electronic journal of combinatorics", 31 Març 2013, vol. 20, núm. 1, p. 1-14.
dc.identifier.citation	1077-8926
dc.identifier.uri	http://hdl.handle.net/2117/20653
dc.language.iso	eng
dc.relation	http://www.combinatorics.org/ojs/index.php/eljc/article/view/v15i1r87
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomis
dc.subject	Algebras, Linear
dc.subject	Cyclotomy
dc.subject	Polynomials
dc.subject	Almost Moore digraph
dc.subject	Characteristic polynomial
dc.subject	Cyclotomic polynomial
dc.subject	Polinomis
dc.subject	Grafs, Teoria de
dc.title	Nonexistence of almost Moore digraphs of diameter four
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	Regular digraphs of degree d > 1, diameter k > 1 and order N(d; k) = d+ +dk will be called almost Moore (d; k)-digraphs. So far, the problem of their existence has only been solved when d = 2; 3 or k = 2; 3. In this paper we prove that almost Moore digraphs of diameter 4 do not exist for any degree d

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