Résumé
An extraordinary variety of disciplines rely on graphs to
convey their fundamentals as well as their finer points.
With this concise and well-written text, anyone with a firm
grasp of general mathematics can follow the development of
graph theory and learn to apply its principles in methods
both formal and abstract. The work of a distinguished
mathematician, this text uses practical examples to
illustrate the theory's broad range of applications, from
the behavioral sciences, information theory, cybernetics,
and other areas, to mathematical disciplines such as set
and matrix theory. 1966 ed. 109 b/w illus.
Contents
Introduction
- General Definitions
- Descendance Relations
- The Ordinal Function and the Grundy Function on an Infinite Graph
- The Fundamental Numbers of the Theory of Graphs
- Kernels of a Graph
- Games on a <>Graph
- The Problem of the Shortest Route
- Transport Networks
- The Theorem of the Demi-Degress
- Matching of a Simple Graph
- Factors
- Centres of a Graph
- The Diameter of a Strongly Connected Graph
- The Matrix Associated with a Graph
- Incidence Matrices
- Trees and Arborescences
- Euler's Problem
- Matching in the General Case
- Semi-Factors
- The Connectivity of a Graph
- Planar Graphs
Bibliography
List of Symbols
Index of Terms Used
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Dover |
| Auteur(s) | Claude Berge |
| Parution | 01/09/2001 |
| Nb. de pages | 248 |
| Format | 13,7 x 21,6 |
| Couverture | Broché |
| Poids | 282g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780486419756 |
| ISBN13 | 978-0-486-41975-6 |
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