J.L.R. Alfonsin Perfect Graphs

ISBN 13: 9780471489702

Perfect Graphs

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9780471489702: Perfect Graphs
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The theory of perfect graphs was born out of a conjecture aboutgraph colouring made by Claude Berge in 1960. That conjectureremains unsolved, but has generated an important area of researchin combinatorics. This book:
* Includes an introduction by Claude Berge, the founder of perfectgraph theory

* Discusses the most recent developments in the field of perfectgraph 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 othersubjects

* Discusses how semi-definite programming evolved out of perfectgraph theory
The early developments of the theory are included to lay thegroundwork for the later chapters. The most recent developments ofperfect graph theory are discussed in detail, highlighting seminalresults, new directions, and links to other areas of mathematicsand their applications. These applications include frequencyassignment for telecommunication systems, integer programming andoptimisation.

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From the Back Cover:

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

* Highlights applications in frequency assignments fortelecommunications systems, integer programming andoptimization.

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

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

Review:

"...illuminates the relationships between perfect graph theory andother fields of scientific enquiry..." (SciTech Book News,Vol. 26, No. 2, June 2002)

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Book Description John Wiley and Sons Ltd, United Kingdom, 2001. Hardback. Condition: New. New. Language: English. Brand new Book. 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. Seller Inventory # AAH9780471489702

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Book Description John Wiley and Sons Ltd, United Kingdom, 2001. Hardback. Condition: New. New. Language: English . Brand New Book. 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. Seller Inventory # AAH9780471489702

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