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A Beginner’s Guide to Graph Theory

By: Wallis, W. D [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Boston, MA : Birkhäuser Boston, 2007.Edition: Second Edition.Description: XX, 260 p. 160 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780817645809.Subject(s): Mathematics | Algebra | Matrix theory | Applied mathematics | Engineering mathematics | Mathematical logic | Discrete mathematics | Combinatorics | Mathematics | Discrete Mathematics | Combinatorics | Algebra | Applications of Mathematics | Mathematical Logic and Foundations | Linear and Multilinear Algebras, Matrix TheoryDDC classification: 511.1 Online resources: Click here to access online
Contents:
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 -- Communications Networks and Small-Worlds.
In: Springer eBooksSummary: 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. ----- From a review of the first edition: "Altogether the book gives a comprehensive introduction to graphs, their theory and their application…The use of the text is optimized when the exercises are solved. The obtained skills improve understanding of graph theory as well… It is very useful that the solutions of these exercises are collected in an appendix." —Simulation News Europe.
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Item type Current location Call number Status Date due Barcode Item holds
E books E books PK Kelkar Library, IIT Kanpur
Available EBK9244
Total holds: 0

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 -- Communications Networks and Small-Worlds.

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. ----- From a review of the first edition: "Altogether the book gives a comprehensive introduction to graphs, their theory and their application…The use of the text is optimized when the exercises are solved. The obtained skills improve understanding of graph theory as well… It is very useful that the solutions of these exercises are collected in an appendix." —Simulation News Europe.

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