Hybrid Graph Theory and Network Analysis

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Ladislav Novak (University of Novi Sad, Yugoslavia) Alan Gibbons (University of Liverpool)

Hybrid Graph Theory and Network Analysis

Ladislav Novak (University of Novi Sad, Yugoslavia), Alan Gibbons (University of Liverpool)

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English

Cambridge University Press
01 November 1999

Combinatorics & graph theory; Computer networking & communications

Series: Cambridge Tracts in Theoretical Computer Science

This book combines traditional graph theory with the matroidal view of graphs and throws light on mathematical aspects of network analysis. This approach is called here hybrid graph theory. This is essentially a vertex-independent view of graphs naturally leading into the domain of graphoids, a generalisation of graphs. This enables the authors to combine the advantages of both the intuitive view from graph theory and the formal mathematical tools from the theory of matroids. A large proportion of the material is either new or is interpreted from a fresh viewpoint. Hybrid graph theory has particular relevance to electrical network analysis which was one of the earliest areas of application of graph theory. It was essentially out of developments in this area that hybrid graph theory evolved. The book will be regarded as a substantial account of the subject. Suitable readers will be engineering theorists, computer scientists and mathematicians.

By: Ladislav Novak (University of Novi Sad Yugoslavia), Alan Gibbons (University of Liverpool)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 49
Dimensions: Height: 229mm, Width: 152mm, Spine: 14mm
Weight: 375g
ISBN: 9780521461177
ISBN 10: 0521461170
Series: Cambridge Tracts in Theoretical Computer Science
Pages: 188
Publication Date: 01 November 1999
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Preface; 1. Two dual structures of a graph; 2. Independence structures; 3. Basoids; 4. Pairs of trees; 5. Maximally distant pairs of trees; Bibliography; Index.