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Textbook of Graph Theory (00 Edition)

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Textbook of Graph Theory (00 Edition) Cover

 

Synopses & Reviews

Please note that used books may not include additional media (study guides, CDs, DVDs, solutions manuals, etc.) as described in the publisher comments.

Publisher Comments:

Graph theory has experienced a tremendous growth during 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 book aims to provide a solid background in the basic topics of graph theory. It covers 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. The book does not presuppose deep knowledge of any branch of mathematics, but requires only the basics of mathematics. It can be used in an advanced undergraduate course or a beginning graduate course in graph theory.

Synopsis:

Here is a solid introduction to graph theory, covering Dirac's theorem on k-connected graphs, Harary-Nashwilliam's theorem on the hamiltonicity of line graphs, Toida-McKee's characterization of Eulerian graphs, Fournier's proof of Kuratowski's theorem on planar graphs, and more. The book does not presuppose deep knowledge of any branch of mathematics, but requires only the basics of mathematics.

Description:

Includes bibliographical references (p. [217]-222) and index.

Table of Contents

Basic Results.- Directed Graphs.- Connectivity.- Trees.- Independent Sets and Matchings.- Eulerian and Hamiltonian Graphs.- Graph Colourings.- Planarity.- Triangulated Graphs.- Applications.

Product Details

ISBN:
9780387988597
Author:
Balakrishnan, R.
Author:
Ranganathan, K.
Author:
Balakrishnan, R.
Publisher:
Springer
Location:
New York :
Subject:
Graphic Methods
Subject:
Graph theory
Subject:
Combinatorics
Subject:
Mathematics - General
Copyright:
Edition Description:
Book
Series:
Universitext
Series Volume:
98-499
Publication Date:
19991217
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
238
Dimensions:
235 x 155 mm 1150 gr

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Related Subjects

Science and Mathematics » Mathematics » General

Textbook of Graph Theory (00 Edition) Used Hardcover
0 stars - 0 reviews
$64.00 In Stock
Product details 238 pages Springer-Verlag - English 9780387988597 Reviews:
"Synopsis" by , Here is a solid introduction to graph theory, covering Dirac's theorem on k-connected graphs, Harary-Nashwilliam's theorem on the hamiltonicity of line graphs, Toida-McKee's characterization of Eulerian graphs, Fournier's proof of Kuratowski's theorem on planar graphs, and more. The book does not presuppose deep knowledge of any branch of mathematics, but requires only the basics of mathematics.
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