Modern graph theory
 Responsibility
 Béla Bollobás.
 Imprint
 New York : Springer, c1998.
 Physical description
 xiii, 394 p. : ill. ; 25 cm.
 Series
 Graduate texts in mathematics 184.
Access
Available online
Science Library (Li and Ma)
Stacks
Call number  Status 

QA166 .B663 1998  Unknown 
QA166 .B663 1998  Unknown 
More options
Creators/Contributors
 Author/Creator
 Bollobás, Béla.
Contents/Summary
 Bibliography
 Includes bibliographical references and indexes.
 Contents

 Fundamentals. Electrical Networks. Flows, Connectivity and Matching. Extremal Problems. Colouring. Ramsey Theory. Random Graphs. Graphs, Groups and Matrices. Random Walks on Graphs. The Tutte Polynomial.
 (source: Nielsen Book Data)9780387984889 20160528
 Publisher's Summary
 This text is an indepth account of graph theory. It reflects the current state of the subject and emphasizes connections with other branches of pure mathematics. Recognizing that graph theory is one of several courses competing for the attention of a student, the book contains descriptive passages designed to convey the flavour of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory such as colouring, matching, extremal theory, and algebraic graph theory, the book presents an account of newer topics, including: Szemer'edi's Regularity Lemma and its use; Shelah's extension of the HalesJewett 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.
(source: Nielsen Book Data)9780387984919 20160528  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 indepth 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 HalesJewett 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 thoughtout exercises: over 600 in total. Although some are straightforward, most of them are substantial, and others will stretch even the most able reader.
(source: Nielsen Book Data)9780387984889 20160528
Subjects
 Subject
 Graph theory.
Bibliographic information
 Publication date
 1998
 Series
 Graduate texts in mathematics ; 184.
 ISBN
 0387984917 (acidfree paper)
 0387984887 (pbk. : acidfree paper)
 9780387984919 (acidfree paper)
 9780387984889 (pbk. : acidfree paper)