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Modern Graph Theory (Graduate Texts in Mathematics) (Paperback)

by Bela Bollobas (Author) "The basic concepts of graph theory are extraordinarily simple and can be used to express problems from many different subjects ..." (more)

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Extremal Graph Theory by Bela Bollobas
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Random Graphs (Cambridge Studies in Advanced Mathematics) by B�la Bollob�s
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Product details

Paperback: 408 pages
Publisher: Springer; 1st ed. 1998. Corr. 2nd printing edition (4 Oct 2002)
Language English
ISBN-10: 0387984887
ISBN-13: 978-0387984889
Product Dimensions: 23.5 x 16 x 2.5 cm

Average Customer Review: 5.0 out of 5 stars See all reviews (1 customer review)

Amazon.co.uk Sales Rank: 331,635 in Books (See Bestsellers in Books)
Popular in these categories:
#50 in Books > Scientific, Technical & Medical > Mathematics > Combinatorics & Graph Theory
#80 in Books > Science & Nature > Mathematics > Combinatorics & Graph Theory

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Product Description

The time has now come when graph theory should be part of the education of every serious student of mathematics and computer science, both for its own sake and to enhance the appreciation of mathematics as a whole. This book is an in-depth account of graph theory, written with such a student in mind; it reflects the current state of the subject and emphasizes connections with other branches of pure mathematics. The volume grew out of the author's earlier book, Graph Theory -- An Introductory Course, but its length is well over twice that of its predecessor, allowing it to reveal many exciting new developments in the subject. Recognizing that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavor of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory such as coloring, matching, extremal theory, and algebraic graph theory, the book presents a detailed account of newer topics, including Szemer\'edi's Regularity Lemma and its use, Shelah's extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. In no other branch of mathematics is it as vital to tackle and solve challenging exercises in order to master the subject. To this end, the book contains an unusually large number of well thought-out exercises: over 600 in total. Although some are straightforward, most of them are substantial, and others will stretch even the most able reader.

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	66% buy the item featured on this page: Modern Graph Theory (Graduate Texts in Mathematics) 5.0 out of 5 stars (1) �31.10
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	6% buy Graph Theory (Graduate Texts in Mathematics) �72.00

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0 of 2 people found the following review helpful:

5.0 out of 5 stars Probably the greatest work in graph theory of all time, 8 Oct 2007

By	M. Davies - See all my reviews (REAL NAME)

rigorous yet accessible - this book is the entire stimulus for my lov of graph theory, and indeed my research project.

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