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EBOOK
Author Balakrishnan, R. (Rangaswami)
Title Textbook of graph theory / R. Balakrishnan, K. Ranganathan.
Imprint Heidelberg : Springer, 2012.
Edition Second edition.

LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
View online
Author Balakrishnan, R. (Rangaswami)
Series Universitext
Universitext.
Subject Graph theory.
Alt Name Ranganathan, K.
LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
View online
Author Balakrishnan, R. (Rangaswami)
Series Universitext
Universitext.
Subject Graph theory.
Alt Name Ranganathan, K.
Description 1 online resource.
polychrome rdacc
Edition Second edition.
Contents Basic Results -- Directed Graphs -- Connectivity -- Trees -- Independent Sets and Matchings -- Eulerian and Hamiltonian Graphs -- Graph Colorings -- Planarity -- Triangulated Graphs -- Domination in Graphs -- Spectral Properties of Graphs.
Bibliography Note Includes bibliographical references and index.
Summary Graph theory experienced a tremendous growth in the 20th century. One of the main reasons for this phenomenon is the applicability of graph theory in other disciplines such as physics, chemistry, psychology, sociology, and theoretical computer science. This textbook provides a solid background in the basic topics of graph theory, and is intended for an advanced undergraduate or beginning graduate course in graph theory. This second edition includes two new chapters: one on domination in graphs and the other on the spectral properties of graphs, the latterincluding a discussion on graph energy. The chapter on graph colorings has been enlarged, covering additional topics such as homomorphisms and colorings and the uniqueness of the Mycielskian up to isomorphism. This book also introduces several interesting topics such as Dirac's theorem on k-connected graphs, Harary-Nashwilliam's theorem on the hamiltonicity of line graphs, Toida-McKee's characterization of Eulerian graphs, the Tutte matrix of a graph, Fournier's proof of Kuratowski's theorem on planar graphs, the proof of the nonhamiltonicity of the Tutte graph on 46 vertices, and a concrete application of triangulated graphs.
Note Print version record.
ISBN 9781461445296 (electronic bk.)
1461445299 (electronic bk.)
9781461445289
OCLC # 811140479
Additional Format Print version: Balakrishnan, R. Textbook of graph theory. Heidelberg : Springer, 2012 1461445280 (OCoLC)798797398


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