Universitext

A Textbook of Graph Theory

Authors: Balakrishnan, R., Ranganathan, K.

  • New edition extensively revised and updated
  •  
  • Includes two new chapters, one on domination in graphs and another on spectral properties of graphs
  • Contains a discussion on graph energy, a topic of current interest in spectral graph theory
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eBook $54.99
price for USA (gross)
  • ISBN 978-1-4614-4529-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-1-4614-4528-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

 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.

About the authors

R. Balakrishnan is currently an Adjunct Professor of Mathematics at Bharathidasan University in India.

Reviews

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 José Cano Sevilla, The European Mathematical Society, April, 2013)

Table of contents (11 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-1-4614-4529-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-1-4614-4528-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
A Textbook of Graph Theory
Authors
Series Title
Universitext
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-4529-6
DOI
10.1007/978-1-4614-4529-6
Softcover ISBN
978-1-4614-4528-9
Series ISSN
0172-5939
Edition Number
2
Number of Pages
XIII, 292
Number of Illustrations and Tables
204 b/w illustrations
Topics