Combinatorial Network Theory

 

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Combinatorial Network Theory


D.Frank Hsu (Editor)
Dingzhu Dhu (Editor)

 

Hardback

ISBN: 9780792337775

 

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A basic problem for the interconnection of communications media is to design interconnection networks for specific needs. For example, to minimize delay and to maximize reliability, networks are required that have minimum diameter and maximum connectivity under certain conditions. The book provides a solution to this problem.


A basic problem for the interconnection of communications media is to design interconnection networks for specific needs. For example, to minimize delay and to maximize reliability, networks are required that have minimum diameter and maximum connectivity under certain conditions. The book provides a recent solution to this problem. The subject of all five chapters is the interconnection problem. The first two chapters deal with Cayley digraphs which are candidates for networks of maximum connectivity with given degree and number of nodes.Chapter 3 addresses Bruijn digraphs, Kautz digraphs, and their generalizations, which are candidates for networks of minimum diameter and maximum connectivity with given degree and number of nodes. Chapter 4 studies double loop networks, and Chapter 5 considers broadcasting and the Gossiping problem. All the chapters emphasize the combinatorial aspects of network theory. It is a vital reference for graduate students and researchers in applied mathematics and theoretical computer science.


 

ISBN 792337778
ISBN13 9780792337775
Publisher Kluwer Academic Publishers
Format Hardback
Publication date 00/12/1995
Pages 228
Weight (grammes) 500
Published in Netherlands
Height (mm) 234
Width (mm) 156

1. Additive Group Theory Applied to Network Topology. 2. Connectivity of Cayley Digraphs. 3. De Bruijn Digraphs, Kautz Digraphs, and Their Generalizations. 4.Link-Connectivities of Extended Double Loop Networks. 5.Dissemination of Information in Interconnection Networks (Broadcasting and Gossiping.)

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