Graph Separators, with Applications - Brossura

Rosenberg, Arnold L. L.; Heath, Lenwood S.

 
9781475787641: Graph Separators, with Applications

Sinossi

Graph Separators with Applications is devoted to techniques for obtaining upper and lower bounds on the sizes of graph separators - upper bounds being obtained via decomposition algorithms. The book surveys the main approaches to obtaining good graph separations, while the main focus of the book is on techniques for deriving lower bounds on the sizes of graph separators. This asymmetry in focus reflects our perception that the work on upper bounds, or algorithms, for graph separation is much better represented in the standard theory literature than is the work on lower bounds, which we perceive as being much more scattered throughout the literature on application areas. Given the multitude of notions of graph separator that have been developed and studied over the past (roughly) three decades, there is a need for a central, theory-oriented repository for the mass of results. The need is absolutely critical in the area of lower-bound techniques for graph separators, since these techniques have virtually never appeared in articles having the word `separator' or any of its near-synonyms in the title. Graph Separators with Applications fills this need.

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Contenuti

Preface. Capsule Biographies of the Authors. 1. A Technical Introduction. 2. Applications of Graph Separators. 3. Upper Bound Techniques. 4. Lower-Bound Techniques. A. Applications of Graph Separators, Revisited. Bibliography. Index.

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Altre edizioni note dello stesso titolo

9780306464645: Graph Separators, with Applications

Edizione in evidenza

ISBN 10:  0306464640 ISBN 13:  9780306464645
Casa editrice: Springer-Verlag GmbH, 2001
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