A Textbook of Graph Theory

Nonfiction, Science & Nature, Mathematics, Combinatorics, Graphic Methods
Cover of the book A Textbook of Graph Theory by R. Balakrishnan, K. Ranganathan, Springer New York
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Author: R. Balakrishnan, K. Ranganathan ISBN: 9781461445296
Publisher: Springer New York Publication: September 20, 2012
Imprint: Springer Language: English
Author: R. Balakrishnan, K. Ranganathan
ISBN: 9781461445296
Publisher: Springer New York
Publication: September 20, 2012
Imprint: Springer
Language: English

 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.

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 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.

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