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
03 September 2009

Combinatorics & graph theory; Computer networking & communications

Series: Cambridge Tracts in Theoretical Computer Science

First published in 1999, 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.

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: 11mm
Weight: 280g
ISBN: 9780521106597
ISBN 10: 0521106591
Series: Cambridge Tracts in Theoretical Computer Science
Pages: 188
Publication Date: 03 September 2009
Audience: Professional and scholarly , Undergraduate
Format: Paperback
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.