A Textbook of Graph Theory
2nd Edition
Published on 20. September 2012
Book
Paperback/Softback
304 pages
978-1-4614-4528-9 (ISBN)
Description
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.
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.
Reviews / Votes
From the reviews of the second edition:"This book demonstrates the breadth of graph theory by including several explicit applications of graph theory to other disciplines. This could be used as a textbook for a graduate or undergraduate course. The streamlined text would make this a good reference book for an undergraduate or non-mathematician who uses graph theory. The embedded exercises make it a useful reference for a teacher of a graph theory course or a course in which selected topics of graph theory may occur." (Suzanne Caulk, MAA Reviews, June, 2013)
"The book goes from the basics to the frontiers of research in graph theory, with newly ideas emergent, in mathematics or computer science. ... Definitely the book is high recommended and is of much interest. It provides a solid background in the basic topics of graph theory, and is an excellent guide for graduate. I feel sure that it will be of great use to students, teachers and researchers." (Francisco Jose Cano Sevilla, The European Mathematical Society, April, 2013)
More details
Product info
Paperback
Series
Edition
2nd ed. 2012
Language
English
Place of publication
NY
United States
Target group
Professional and scholarly
Graduate
Edition type
Revised edition
Illustrations
204 s/w Abbildungen
204 Illustrations, black and white; XIII, 292 p. 204 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 17 mm
Weight
464 gr
ISBN-13
978-1-4614-4528-9 (9781461445289)
DOI
10.1007/978-1-4614-4529-6
Schweitzer Classification
Other editions
Additional editions
R. Balakrishnan | K. Ranganathan
A Textbook of Graph Theory
E-Book
09/2012
2nd Edition
Springer
€69.54
Available for download
Previous edition
R. Balakrishnan | K. Ranganathan
A Textbook of Graph Theory
Book
01/2000
1st Edition
Springer
€67.36
Article exhausted; check for reprint
Persons
R. Balakrishnan is currently an Adjunct Professor of Mathematics at Bharathidasan University in India.
Content
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.