Graph Classes

A Survey

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

Buch | Softcover

316 Seiten

1987
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-0-89871-432-6 (ISBN)

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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.

Reihe/Serie	Monographs on Discrete Mathematics and Applications
Verlagsort	New York
Sprache	englisch
Maße	178 x 254 mm
Gewicht	562 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Mathematik / Informatik ► Mathematik ► Graphentheorie
ISBN-10	0-89871-432-X / 089871432X
ISBN-13	978-0-89871-432-6 / 9780898714326
Zustand	Neuware