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"Vertex colouring and forbidden subgraphs - a survey"  
Article by Bert Randerath, Ingo Schiermeyer, available as BibTeX Source, postscript file, compressed postscript file and in portable document format.
Zentrum für Angewandte Informatik Köln, Lehrstuhl Speckenmeyer
 
Preprint Key: zaik2003-453
Keywords: chi-binding function, colouring, forbidden subgraphs, graph algorithms, perfect graphs
MSC codes: 05C15, 05C17, 05C85, 68R10

This article was published in 2004 in the journal "Graphs & Combinatorics", volume 20, number 1, pages 1-40.

Abstract:

There is a great variety of colouring concepts and results in the literature. Here our focus is to survey results on vertex colourings of graphs defined in terms of forbidden induced subgraph conditions.