Applied graph theory

by Chen, Wai-Kai

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Title Statements

Full title :Applied graph theory / W.K. Chen.

Edition Statements

Publication Date:1971 [i.e. 1972]

Publication Statements

Publisher(s):American Elsevier, North-Holland Pub. Co
Place of Publication:Amsterdam
Language:eng
Publication Date:1971 [i.e. 1972]

Notes

Sole distributors for the U.S.A.: American Elsevier Pub. Co., New York.

The Physical Object

Description:1 online resource (xiv, 484 pages)

Edition Identifiers

ISBN:9780444601933, 0444601937, 1299537227, 9781299537224
oclc:ocn844213177
LC Classification:TA338.G7
Dewey Decimal:511/.5/0246213

Front Cover; Applied Graph Theory; Copyright Page; Dedication; Preface; Table of Contents; CHAPTER 1. Basic theory; 1. Introduction; 2. Basic concepts of abstract graphs; 3. Operations on graphs; 4. Some important classes of graphs; 5. Directed graphs; 6. Mixed graphs; 7. Conclusions; Problems; CHAPTER 2. Foundations of electrical network theory; 1. Matrices and directed graphs; 2. The electrical network problem; 3. Solutions of the electrical network problem; 4. Invariance and mutual relations of network determinants and the generalized cofactors; 5. Invariance and the incidence functions

6. Topological formulas for RLC networks7. The existence and uniqueness of the network solutions; 8. Conclusions; Problems; CHAPTER 3. Directed-graph solutions of linear algebraic equations; 1. The associated Coates graph; 2. The associated Mason graph; 3. The modifications of Coates and Mason graphs; 4. The generation of subgraphs of a directed graph; 5. The eigenvalue problem; 6. The matrix inversion; 7. Conclusions; Problems; CHAPTER 4. Topological analysis of linear systems; 1. The equicofactor matrix; 2. The associated directed graph; 3. Equivalence and transformations

4. The associated d…