A Beginner's guide to Graph's theory

Walter D. Wallis

260 pages, parution le 01/08/2007 (2^eme édition)

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Résumé

Graph theory continues to be one of the fastest growing areas of modern mathematics
Second edition includes new chapters, more examples, exercises, hints and solutions to key problems
Strikes a balance between a theoretical and practical approach

Graph theory continues to be one of the fastest growing areas of modern mathematics because of its wide applicability in such diverse disciplines as computer science, engineering, chemistry, management science, social science, and resource planning. Graphs arise as mathematical models in these fields, and the theory of graphs provides a spectrum of methods of proof. This concisely written textbook is intended for an introductory course in graph theory for undergraduate mathematics majors or advanced undergraduate and graduate students from the many fields that benefit from graph-theoretic applications.

Key features:

Introductory chapters present the main ideas and topics in graph theory-walks, paths and cycles, radius, diameter, eccentricity, cuts and connectivity, trees
Subsequent chapters examine specialized topics and applications
Numerous examples and illustrations
Comprehensive index and bibliography, with suggested literature for more advanced material

New to the second edition:

New chapters on labeling and on communications networks and small-worlds
Expanded beginner's material in the early chapters, including more examples, exercises, hints and solutions to key problems
Many additional changes, improvements, and corrections throughout resulting from classroom use and feedback

Striking a balance between a theoretical and practical approach with a distinctly applied flavor, this gentle introduction to graph theory consists of carefully chosen topics to develop graph-theoretic reasoning for a mixed audience. Familiarity with the basic concepts of set theory, along with some background in matrices and algebra, and a little mathematical maturity are the only prerequisites.

Written for: Undergraduate mathematics majors, as well as advanced undergraduates and graduate students in computer science, engineering, chemistry, management science, social science, and resource planning

Sommaire

List of Figures
Graphs
Walks, Paths, and Cycles
Connectivity
Trees
Linear Spaces Associated with Graphs
Factorizations
Graph Colorings
Planarity
Labeling
Ramsey Theory
Digraphs
Critical Paths
Flows in Networks
Computational Considerations
Communication Networks and Small Worlds
References
Hints
Answers and Solutions

Voir tout

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Walter D. Wallis
Parution	01/08/2007
Édition	2^eme édition
Nb. de pages	260
Format	15,5 x 23,5
Couverture	Broché
Poids	395g
Intérieur	Noir et Blanc
EAN13	9780817644840
ISBN13	978-0-8176-4484-0