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Perfect Graphs

J.L.R. Alfonsin, Jorge L. Ram?rez-Alfons?n (Editor), Bruce A. Reed (Editor)

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ISBN 10: 0471489700 / ISBN 13: 9780471489702
Published by Wiley, 2001
New Condition: New Hardcover
From Ergodebooks (RICHMOND, TX, U.S.A.)

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Bibliographic Details

Title: Perfect Graphs

Publisher: Wiley

Publication Date: 2001

Binding: Hardcover

Book Condition:New

Edition: 1.

About this title

Synopsis:

The theory of perfect graphs was born out of a conjecture about graph colouring made by Claude Berge in 1960. That conjecture remains unsolved, but has generated an important area of research in combinatorics. This book:
* Includes an introduction by Claude Berge, the founder of perfect graph theory

* Discusses the most recent developments in the field of perfect graph theory

* Provides a thorough historical overview of the subject

* Internationally respected authors highlight the new directions, seminal results and the links the field has with other subjects

* Discusses how semi-definite programming evolved out of perfect graph theory
The early developments of the theory are included to lay the groundwork for the later chapters. The most recent developments of perfect graph theory are discussed in detail, highlighting seminal results, new directions, and links to other areas of mathematics and their applications. These applications include frequency assignment for telecommunication systems, integer programming and optimisation.

From the Back Cover:

Perfect graph theory was born out of a conjecture about graph colouring made by Claude Berge in 1960. That conjecture remains unsolved, but it has generated an important area of research in combinatorics. In this first book on the subject, the authors bring together all the questions, methods and ideas of perfect graph theory, and highlight the new methods and applications generated by Berge's conjecture.
* Discusses the most recent developments in the field of perfect graph theory.

* Highlights applications in frequency assignments for telecommunications systems, integer programming and optimization.

* Discusses how semi-definite programming evolved out of perfect graph theory.

* Includes an introduction by Claude Berg.
* Features internationally respected authors.
Primarily of interest to researchers from mathematics, combinatorics, computer science and telecommunications, the book will also appeal to students of graph theory.

"About this title" may belong to another edition of this title.

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