On polytopality of Cartesian products of graphs

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Title:	On polytopality of Cartesian products of graphs
Author:	Pfeifle, Julián; Pilaud, Vincent; Santos Pérez, Francisco Javier
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. MD - Matemàtica Discreta
Abstract:	We study the polytopality of Cartesian products of non-polytopal graphs. On the one hand, we prove that a product of graphs is the graph of a simple polytope if and only if its factors are. On the other hand, we provide a general construction of polytopal products of a polytopal graph by a non-polytopal graph.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs -Graph theory -Polytopes -Discrete geometry -Grafs, Teoria de -Politops -Geometria discreta
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Published version Conference Object
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