Electronic Journal of Graph Theory and Applications (EJGTA)
Vol 3, No 1 (2015): Electronic Journal of Graph Theory and Applications

A new characterization of trivially perfect graphs

Christian Rubio Montiel (National Autonomous University of Mexico)

Article Info

Publish Date
22 Mar 2015

Abstract

A graph $G$ is \emph{trivially perfect} if for every induced subgraph the cardinality of the largest set of pairwise nonadjacent vertices (the stability number) $\alpha(G)$ equals the number of (maximal) cliques $m(G)$. We characterize the trivially perfect graphs in terms of vertex-coloring and we extend some definitions to infinite graphs.

Copyrights © 2015




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Journal Info
Electronic Journal of Graph Theory and Applications (EJGTA)
Website

Abbrev

ejgta

Publisher

Indonesian Combinatorial Society

Subject

Electrical & Electronics Engineering

Description

The Electronic Journal of Graph Theory and Applications (EJGTA) is a refereed journal devoted to all areas of modern graph theory together with applications to other fields of mathematics, computer science and other sciences. The journal is published by the Indonesian Combinatorial Society ...