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Combinatorial Network Theory
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Catalogue Record 42980
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Catalogue Information
Field name
Details
Dewey Class
511.1
Title
Combinatorial Network Theory ([EBook] /) / edited by Ding-Zhu Du, D. Frank Hsu.
Added Personal Name
Du, Ding-Zhu
editor.
Hsu, D. Frank
editor.
Other name(s)
SpringerLink (Online service)
Publication
Boston, MA : : Springer US : : Imprint: Springer, , 1996.
Physical Details
VIII, 214 p. : online resource.
Series
Applied Optimization
1384-6485 ; ; 1
ISBN
9781475724912
Summary Note
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. Audience: A vital reference for graduate students and researchers in applied mathematics and theoretical computer science.:
Contents note
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 & Gossiping).
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4757-2491-2
Links to Related Works
Subject References:
Category Theory, Homological Algebra
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Category theory (Mathematics)
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Combinatorics
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Computer Science
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Discrete Mathematics
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Discrete Mathematics in Computer Science
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Homological algebra
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Information and communication, circuits
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Information theory
.
Mathematics
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Authors:
Du, Ding-Zhu
.
Hsu, D. Frank
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Corporate Authors:
SpringerLink (Online service)
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Series:
Applied Optimization
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Classification:
511.1
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