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9780898714326 Academic Inspection Copy

Graph Classes

A Survey
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An encyclopaedia for the literature on graph classes, this volume contains a survey of more than 200 classes of graphs, organized by types of properties used to define and characterize the classes, citing key theorems and literature references for each. The authors state results without proof, providing readers with access to a wide selection of key theorems. Interconnections between graph classes are also provided to make the book useful to a variety of readers.
Preface Chapter 1: Basic Concepts Chapter 2: Perfection, Generalized Perfection, and Related Concepts Chapter 3: Cycles, Chords and Bridges Chapter 4: Models and Interactions Chapter 5: Vertex and Edge Orderings Chapter 6: Posets Chapter 7: Forbidden Subgraphs Chapter 8: Hypergraphs and Graphs Chapter 9: Matrices and Polyhedra Chapter 10: Distance Properties Chapter 11: Algebraic Compositions and Recursive Definitions Chapter 12: Decompositions and Cutsets Chapter 13: Threshold Graphs and Related Concepts Chapter 14: The Strong Perfect Graph Conjecture Appendix A: Recognition Appendix B: Containment Relationships Bibliography Index
'Offers a wide and up-to-date panorama on classes of graphs and the corresponding algorithms.' Frederic Maffray, CNRS, Grenoble, France 'An excellent survey of a vast ocean of results ... A must-have for researchers in the field.' Uri N. Peled, University of Illinois at Chicago
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