Combinatorial Network Theory
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.
1101310644
Combinatorial Network Theory
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.
109.99 In Stock
Combinatorial Network Theory

Combinatorial Network Theory

Combinatorial Network Theory

Combinatorial Network Theory

Paperback(Softcover reprint of hardcover 1st ed. 1996)

$109.99 
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Overview

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.

Product Details

ISBN-13: 9781441947529
Publisher: Springer US
Publication date: 12/03/2010
Series: Applied Optimization , #1
Edition description: Softcover reprint of hardcover 1st ed. 1996
Pages: 214
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

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).
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