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A Textbook of Graph Theory
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Catalogue Information
Field name
Details
Dewey Class
511.5
Title
A Textbook of Graph Theory (EB) / by R. Balakrishnan, K. Ranganathan.
Author
Balakrishnan, R. (Rangaswami)
Added Personal Name
Ranganathan, K. author.
Other name(s)
SpringerLink (Online service)
Edition statement
2nd ed. 2012.
Publication
New York, NY : Springer
, 2012.
Physical Details
XIII, 292 pages : 204 illus. : online resource.
Series
Universitext
0172-5939
ISBN
9781461445296
Summary Note
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.:
Contents note
Preface to the Second Edition -- Preface to the First Edition -- 1 Basic Results -- 2 Directed Graphs -- 3 Connectivity -- 4 Trees -- 5 Independent Sets and Matchings -- 6 Eulerian and Hamiltonian Graphs -- 7 Graph Colorings -- 8 Planarity -- 9 Triangulated Graphs -- 10 Domination in Graphs -- 11 Spectral Properties of Graphs -- Bibliography -- Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4614-4529-6
Links to Related Works
Subject References:
Graph Theory
.
Mathematics
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Authors:
author
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Balakrishnan, R. (Rangaswami)
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Corporate Authors:
SpringerLink (Online service)
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Series:
Universitext
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Classification:
511.5
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