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Submodular functions and electrical networks

Author: H Narayanan
Publisher: Amsterdam ; New York : Elsevier, 1997.
Series: Annals of discrete mathematics, 54.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
There is a strong case for electrical network topologists and submodular function theorists being aware of each other's fields. Presenting a topological approach to electrical network theory, this book demonstrates the strong links that exist between submodular functions and electrical networks. The book contains: & bull; a detailed discussion of graphs, matroids, vector spaces and the algebra of generalized minors,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Narayanan, H.
Submodular functions and electrical networks.
Amsterdam ; New York : Elsevier, 1997
(DLC) 97004313
(OCoLC)36327475
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: H Narayanan
ISBN: 9780080867946 0080867944
OCLC Number: 301689415
Description: 1 online resource (xxx, 650 pages) : illustrations.
Contents: Chapter 1. Introduction --
Chapter 2. Mathematical Preliminaries --
Chapter 3. Graphs --
Chapter 4. Matroids --
Chapter 5. Electrical Networks --
Chapter 6. Topological Hybrid Analysis --
Chapter 7. The Implicit Duality Theorem and Its Applications --
Chapter 8. Multiport Decomposition --
Chapter 9. Submodular Functions --
Chapter 10. Convolution of Submodular Functions --
Chapter 11. Matroid Union --
Chapter 12. Dilworth Truncation of Submodular Functions --
Chapter 13. Algorithms for the PLP of a Submodular Function --
Chapter 14. The Hybrid Rank Problem.
Series Title: Annals of discrete mathematics, 54.
Responsibility: H. Narayanan.

Abstract:

Presenting a topological approach to electrical network theory, this text demonstrates the strong links that exist between submodular functions and electrical networks.  Read more...

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