Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA164. FCT 96651 (Browse shelf) | 1 | Available |
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QA164. FCT 96062 Ordering block designs | QA164. FCT 96258 Sparsity | QA164. FCT 96265 Combinatorial optimization | QA164. FCT 96651 Optimal interconnection trees in the plane | QA164. FCT 96727 Algebraic design theory and Hadamard matrices | QA164. FCT 96795 Eulerian numbers | QA164. FCT 96825 An introduction to catalan numbers |
Colocação: Online
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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