Andreas Brandstädt, Van Bang Le, and Jeremy P. Spinrad
SIAM Monographs on Discrete Mathematics and Applications 3
"...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
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; 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
1999 / xii + 304 pages / Softcover / ISBN-13: 978-0-898714-32-6 / ISBN-10: 0-89871-432-X /
List Price $107.00 / SIAM Member Price $74.90 / Order Code DT03