
Graph Theory
Modeling, Applications, and Algorithms: International Edition
Pearson (Publisher)
Published on 16. October 2006
Book
Paperback/Softback
464 pages
978-0-13-156536-4 (ISBN)
Description
For junior- to senior-level courses in Graph Theory taken by majors in Mathematics, Computer Science, or Engineering or for beginning-level graduate courses.
Once considered an "unimportant" branch of topology, graph theory has come into its own through many important contributions to a wide range of fields - and is now one of the fastest-growing areas in discrete mathematics and computer science. This new text introduces basic concepts, definitions, theorems, and examples from graph theory. The authors present a collection of interesting results from mathematics that involve key concepts and proof techniques; cover design and analysis of computer algorithms for solving problems in graph theory; and discuss applications of graph theory to the sciences. It is mathematically rigorous, but also practical, intuitive, and algorithmic.
Once considered an "unimportant" branch of topology, graph theory has come into its own through many important contributions to a wide range of fields - and is now one of the fastest-growing areas in discrete mathematics and computer science. This new text introduces basic concepts, definitions, theorems, and examples from graph theory. The authors present a collection of interesting results from mathematics that involve key concepts and proof techniques; cover design and analysis of computer algorithms for solving problems in graph theory; and discuss applications of graph theory to the sciences. It is mathematically rigorous, but also practical, intuitive, and algorithmic.
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 179 mm
Width: 234 mm
Thickness: 17 mm
Weight
648 gr
ISBN-13
978-0-13-156536-4 (9780131565364)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
Preface
1 Introduction to Graph Theory
2 Basic Concepts in Graph Theory
3 TreesandForests
4 Spanning Trees
5 Fundamental Properties of Graphs and Digraphs
6 Connectivity and Flow
7 Planar Graphs
8 Graph Coloring
9 Coloring Enumerations and Chordal Graphs
10 Independence,Dominance, and Matchings
11 Cover Parameters and MatchingPolynomials
12 GraphCounting
13 Graph Algorithms
APPENDICES
A Greek Alphabet
B Notation
C Top Ten Online References
Index ix
1 Introduction to Graph Theory
2 Basic Concepts in Graph Theory
3 TreesandForests
4 Spanning Trees
5 Fundamental Properties of Graphs and Digraphs
6 Connectivity and Flow
7 Planar Graphs
8 Graph Coloring
9 Coloring Enumerations and Chordal Graphs
10 Independence,Dominance, and Matchings
11 Cover Parameters and MatchingPolynomials
12 GraphCounting
13 Graph Algorithms
APPENDICES
A Greek Alphabet
B Notation
C Top Ten Online References
Index ix