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On the evaluation of the Tutte polynomial at the points (1,-1) and (2,-1)
Goodall, Andrew; Merino, Criel; Mier Vinué, Anna de; Noy Serrano, Marcos
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. MD - Matemàtica Discreta
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.
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomis
Graph theory
Combinatorial analysis
Grafs, Teoria de
Anàlisi combinatòria
Attribution-NonCommercial-NoDerivs 3.0 Spain

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