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Combinatorial Network Theory (Paperback, Softcover reprint of hardcover 1st ed. 1996)
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Combinatorial Network Theory (Paperback, Softcover reprint of hardcover 1st ed. 1996)
Series: Applied Optimization, 1
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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 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.
General
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