Article ID Journal Published Year Pages File Type
4652068 Electronic Notes in Discrete Mathematics 2013 6 Pages PDF
Abstract

A graph is perfect if the chromatic number is equal to the clique number for every induced subgraph of the graph. Perfect graphs were defined by Berge in the sixties. In this survey we present known results about partial characterizations by forbidden induced subgraphs of different graph classes related to perfect graphs. We analyze a variation of perfect graphs, clique-perfect graphs, and two subclasses of perfect graphs, coordinated graphs and balanced graphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics