Matroid Theory and its Applications in Electric Network Theory and in Statics

Matroid Theory and its Applications in Electric Network Theory and in Statics by Andras Recski.

I. The topics of this book The concept of a matroid has been known for more than five decades. Whitney (1935) introduced it as a common generalization of graphs and matrices. In the last two decades, it has become clear how important the concept is, for the following reasons: (1) Combinatorics (or d...

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Bibliographic Details
Main Author: Recski, Andras (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1989.
Edition:1st ed. 1989.
Series:Algorithms and Combinatorics, 6
Springer eBook Collection.
Subjects:
Combinatorics.
Geometry.
Topology.
Applied mathematics.
Engineering mathematics.
Electrical engineering.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • ONE
  • 1 Basic concepts from graph theory
  • 2 Applications
  • 3 Planar graphs and duality
  • 4 Applications
  • 5 The theorems of König and Menger
  • 6 Applications
  • TWO
  • 7 Basic concepts in matroid theory
  • 8 Applications
  • 9 Algebraic and geometric representation of matroids
  • 10 Applications
  • 11 The sum of matroids I
  • 12 Applications
  • 13 The sum of matroids II
  • 14 Applications
  • 15 Matroids induced by graphs
  • 16 Applications
  • 17 Some recent results in matroid theory
  • 18 Applications
  • Appendix 1 Some important results in chronological order
  • Appendix 2 List of the Boxes
  • Appendix 3 List of the Algorithms
  • Appendix 4 Solutions to the Exercises and Problems.

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