To access the full text documents, please follow this link: http://hdl.handle.net/2117/11523

Title:	On the evaluation of the Tutte polynomial at the points (1,-1) and (2,-1)
Author:	Goodall, Andrew; Merino, Criel; Mier Vinué, Anna de; Noy Serrano, Marcos
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. MD - Matemàtica Discreta
Abstract:	C. Merino proved recently the following identity between evaluations of the Tutte polynomial of complete graphs: t($K_{n+2}$; 1,−1) = t($K_n$;2,−1). In this work we extend this result by giving a large class of graphs with this property, that is, graphs G such that there exist two vertices u and v with t(G;1,−1) = t(G−{u,v};2,−1). The class is described in terms of forbidden induced subgraphs and it contains in particular threshold graphs.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomis -Polynomials -Graph theory -Combinatorial analysis -Polinomis -Grafs, Teoria de -Anàlisi combinatòria
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Published version Conference Object
Share:

Show full item record