Submodular Functions and Electrical Networks
eBook - PDF

Submodular Functions and Electrical Networks

  1. 680 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Submodular Functions and Electrical Networks

Book details
Table of contents
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About This Book

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:

ā€¢ 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)

ā€¢ 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.

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Yes, you can access Submodular Functions and Electrical Networks by H. Narayanan in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.

Information

Publisher
North Holland
Year
1997
ISBN
9780080867946
Topic
Mathematics
Subtopic
Geometry
Index
Mathematics

Table of contents

  1. Front Cover
  2. Submodular Functions and Electrical Networks
  3. Copyright Page
  4. Contents
  5. Chapter 1. Introduction
  6. Chapter 2. Mathematical Preliminaries
  7. Chapter 3. Graphs
  8. Chapter 4. Matroids
  9. Chapter 5. Electrical Networks
  10. Chapter 6. Topological Hybrid Analysis
  11. Chapter 7. The Implicit Duality Theorem and Its Applications
  12. Chapter 8. Multiport Decomposition
  13. Chapter 9. Submodular Functions
  14. Chapter 10. Convolution of Submodular Functions
  15. Chapter 11. Matroid Union
  16. Chapter 12. Dilworth Truncation of Submodular Functions
  17. Chapter 13. Algorithms for the PLP of a Submodular Function
  18. Chapter 14. The Hybrid Rank Problem
  19. Bibliography
  20. Index