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Optimal Interconnection Trees in the Plane: Theory, Algorithms and Applications /
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Catalogue Information
Field name
Details
Dewey Class
511.6
Title
Optimal Interconnection Trees in the Plane ([EBook]) : Theory, Algorithms and Applications / / by Marcus Brazil, Martin Zachariasen.
Author
Brazil, Marcus
Added Personal Name
Zachariasen, Martin
author.
Other name(s)
SpringerLink (Online service)
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2015.
Physical Details
XVII, 344 p. 150 illus., 135 illus. in color. : online resource.
Series
Algorithms and Combinatorics
0937-5511 ; ; 29
ISBN
9783319139159
Summary Note
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.:
Contents note
Preface:- 1 Euclidean and Minkowski Steiner Trees -- 2 Fixed Orientation Steiner Trees -- 3 Rectilinear Steiner Trees -- 4 Steiner Trees with Other Costs and Constraints -- 5 Steiner Trees in Graphs and Hypergraphs -- A Appendix.
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/10.1007/978-3-319-13915-9
Links to Related Works
Subject References:
Algorithms
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Applied mathematics
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Appl.Mathematics/Computational Methods of Engineering
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Combinatorics
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Computer Science
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Discrete Mathematics in Computer Science
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Engineering mathematics
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Geometry
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Mathematical optimization
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Mathematics
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Optimization
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Authors:
Brazil, Marcus
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Zachariasen, Martin
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Corporate Authors:
SpringerLink (Online service)
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Series:
Algorithms and Combinatorics
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Classification:
511.6
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