Graph Classes – A Survey
A Survey

The definitive encyclopedia for the literature on graph classes.

Andreas Brandstädt (Author), Van Bang Le (Author), Jeremy P. Spinrad (Author)

9780898714326

Paperback / softback, published 30 June 1999

315 pages
25.5 x 18.2 x 1.8 cm, 0.568 kg

'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

This well-organized reference is a definitive encyclopedia for the literature on graph classes. It 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 easy access to far more key theorems than are commonly found in other mathematical texts. Interconnections between graph classes are also provided to make the book useful to a variety of readers. If you've had difficulty keeping track of the literature in this field or are confused by the use of different terminology for the same known results, then this comprehensive book is for you. It will be especially useful to anyone who works with special classes of graphs in understanding, refereeing, and writing papers.

Preface
1. Basic Concepts
2. Perfection, Generalized Perfection, and Related Concepts
3. Cycles, Chords and Bridges
4. Models and Interactions
5. Vertex and Edge Orderings
6. Posets
7. Forbidden Subgraphs
8. Hypergraphs and Graphs
9. Matrices and Polyhedra
10. Distance Properties
11. Algebraic Compositions and Recursive Definitions
12. Decompositions and Cutsets
13. Threshold Graphs and Related Concepts
14. The Strong Perfect Graph Conjecture
Appendix A. Recognition
Appendix B. Containment Relationships
Bibliography
Index.

Subject Areas: Miscellaneous items [WZ]