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Graph Classes

Graph Classes
A Survey

Part of Monographs on Discrete Mathematics and Applications

  • Date Published: June 1999
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898714326


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About the Authors
  • 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.

    Reviews & endorsements

    '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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    Product details

    • Date Published: June 1999
    • format: Paperback
    • isbn: 9780898714326
    • length: 316 pages
    • dimensions: 254 x 178 x 14 mm
    • weight: 0.562kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    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

  • Authors

    Andreas Brandstädt, Universität Rostock, Germany

    Van Bang Le, Universität Rostock, Germany

    Jeremy P. Spinrad, Vanderbilt University, Tennessee

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