Overview
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.
Full Product Details
Author: R. Balakrishnan ,
K. Ranganathan
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Edition: 2nd ed. 2012
Dimensions:
Width: 15.50cm
, Height: 1.60cm
, Length: 23.50cm
Weight: 0.469kg
ISBN: 9781461445289
ISBN 10: 1461445280
Pages: 292
Publication Date: 20 September 2012
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
From the reviews of the second edition: 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)
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)
Author Information
R. Balakrishnan is currently an Adjunct Professor of Mathematics at Bharathidasan University in India.
