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Book Cover
Author Balakrishnan, R. (Rangaswami)

Title Textbook of graph theory / R. Balakrishnan, K. Ranganathan
Edition 2nd ed
Published Heidelberg : Springer, 2012


Description 1 online resource
Series Universitext
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
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 latter¡including 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
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Graph theory.
Graph theory.
Form Electronic book
Author Ranganathan, K.
ISBN 9781461445296