A Textbook of Graph Theory

Ebook, Mathematics / Combinatorics, Mathematics / General, Mathematics / Graphic Methods

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.

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A Textbook Of Graph Theory


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Author by : R. Balakrishnan
Languange Used : en
Release Date : 2012-09-20
Publisher by : Springer Science & Business Media

In its second edition, expanded with new chapters on domination in graphs and on the spectral properties of gr

A Textbook Of Graph Theory


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Author by : R. Balakrishnan
Languange Used : en
Release Date : 2012-09-20
Publisher by : Springer Science & Business Media

This second edition includes two new chapters: one on domination in graphs and the other on the spectral prope

A Textbook Of Graph Theory


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Author by : R. Balakrishnan
Languange Used : en
Release Date : 2000
Publisher by : Springer Science & Business Media

Here is a solid introduction to graph theory, covering Dirac's theorem on k-connected graphs, Harary-Nashwilli

Graph Theory


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Author by : Reinhard Diestel
Languange Used : en
Release Date : 2006-01
Publisher by : Springer Science & Business Media

The third edition of this standard textbook of modern graph theory has been carefully revised, updated, and su

A Textbook Of Graph Theory And Its Applications


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Author by : b. sooryanarayana g.k. ranganath
Languange Used : en
Release Date :
Publisher by : RSM Press

A First Look At Graph Theory


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Author by : John Clark
Languange Used : en
Release Date : 1991
Publisher by : World Scientific

This book is intended to be an introductory text for mathematics and computer science students at the second a

Modern Graph Theory


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Author by : Bela Bollobas
Languange Used : en
Release Date : 1998-01-01
Publisher by : Springer Science & Business Media

An in-depth account of graph theory, written for serious students of mathematics and computer science. It refl

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