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: • A Detailed Discussion Of Graphs, Matroids, Vector Spaces And The Algebra Of Generalized Minors, Relevant To Network Analysis (particularly To The Construction Of Efficient Circuit Simulators) • A Detailed Discussion Of Submodular Function Theory In Its Own Right; Topics Covered Include, Various Operations, Dualization, Convolution And Dilworth Truncation As Well As The Related Notions Of Prinicpal Partition And Principal Lattice Of Partitions. In Order To Make The Book Useful To A Wide Audience, The Material On Electrical Networks And That On Submodular Functions Is Presented Independently Of Each Other. The Hybrid Rank Problem, The Bridge Between (topological) Electrical Network Theory And Submodular Functions, Is Covered In The Final Chapter. The Emphasis In The Book Is On Low Complexity Algorithms, Particularly Based On Bipartite Graphs. The Book Is Intended For Self-study And Is Recommended To Designers Of Vlsi Algorithms. More Than 300 Problems, Almost All Of Them With Solutions, Are Included At The End Of Each Chapter.

lgli/_491009.e859f10a3b5037bb11c9df8c4b7777a0.pdf

lgrsnf/_491009.e859f10a3b5037bb11c9df8c4b7777a0.pdf

zlib/Mathematics/Peter L. Hammer (Eds.)/Submodular Functions and Electrical Networks_1227419.pdf

Submodular Functions And Electrical Networks, Volume 54 (annals Of Discrete Mathematics)

H.Narayanan and l.hammer

H. Narayanan

Wolters Kluwer Legal & Regulatory U.S.

Aspen Publishers

North Holland

Annals of discrete mathematics ;, 54, Amsterdam, New York, Netherlands, 1997

United States, United States of America

Elsevier Ltd., Amsterdam, 1997

lg789539

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Includes bibliographical references (p. 629-643) and index.

Content:
Advisory Editors
Page ii
Edited by
Page iii
Copyright page
Page iv
Dedication
Page v
Preface
Pages vii-ix
Note to the Reader
Pages xi-xiii
List of Commonly Used Symbols
Pages xiv-xxi
Chaper 1 Introduction
Pages 1-13
H. Narayanan
Chapter 2 Mathematical Preliminaries
Pages 15-30
H. Narayanan
Chapter 3 Graphs
Pages 31-101
H. Narayanan
Chapter 4 Matroids
Pages 103-129
H. Narayanan
Chapter 5 Electrical Networks
Pages 131-171
H. Narayanan
Chapter 6 Topological Hybrid Analysis
Pages 173-211
H. Narayanan
Chapter 7 The Implicit Duality Theorem and Its Applications
Pages 213-268
H. Narayanan
Chapter 8 Multiport Decomposition
Pages 269-323
H. Narayanan
Chapter 9 Submodular Functions
Pages 325-378
H. Narayanan
Chapter 10 Convolution of Submodular Functions
Pages 379-451
H. Narayanan
Chapter 11 Matroid Union
Pages 453-480
H. Narayanan
Chapter 12 Dilworth Truncation of Submodular Functions
Pages 481-532
H. Narayanan
Chapter 13 Algorithms for the PLP of a Submodular Function
Pages 533-570
H. Narayanan
Chapter 14 The Hybrid Rank Problem
Pages 571-627
H. Narayanan
Bibliography
Pages 629-643
Index
Pages 644-650

2012-02-14