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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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Optimal Interconnection Trees in the Plane - Theory, Algorithms and Applications (Hardcover, 2015 ed.)
Loot Price: R2,194
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Optimal Interconnection Trees in the Plane - Theory, Algorithms and Applications (Hardcover, 2015 ed.)
Series: Algorithms and Combinatorics, 29
Expected to ship within 12 - 19 working days
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This book explores fundamental aspects of geometric network
optimisation with applications to a variety of real world problems.
It presents, for the first time in the literature, a cohesive
mathematical framework within which the properties of such optimal
interconnection networks can be understood across a wide range of
metrics and cost functions. The book makes use of this mathematical
theory to develop efficient algorithms for constructing such
networks, with an emphasis on exact solutions. Marcus Brazil and
Martin Zachariasen focus principally on the geometric structure of
optimal interconnection networks, also known as Steiner trees, in
the plane. They show readers how an understanding of this structure
can lead to practical exact algorithms for constructing such trees.
The book also details numerous breakthroughs in this area over the
past 20 years, features clearly written proofs, and is supported by
135 colour and 15 black and white figures. It will help graduate
students, working mathematicians, engineers and computer scientists
to understand the principles required for designing interconnection
networks in the plane that are as cost efficient as possible.
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