Document Type

Book Chapter

Publication Date

2015

Publication Source

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms

Abstract

This chapter is a survey on perfect graphs with an algorithmic flavor. Our emphasis is on important classes of perfect graphs for which there are fast and efficient recognition and optimization algorithms. The classes of graphs we discuss in this chapter are chordal, comparability, interval, perfectly orderable, weakly chordal, perfectly contractile, and chi-bound graphs. For each of these classes, when appropriate, we discuss the complexity of the recognition algorithm and algorithms for finding a minimum coloring, and a largest clique in the graph and its complement.

Inclusive pages

706-747

ISBN/ISSN

9781584885955

Document Version

Published Version

Comments

This material is strictly for personal use. For any other use, the user must contact Taylor & Francis directly at this address: permissions.mailbox@taylorandfrancis.com. Printing, photocopying, or sharing via any means is a violation of copyright.

Publisher

CRC Press

Place of Publication

Boca Raton, FL


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