Band 184
Beschreibung
Details
Einband
Gebundene Ausgabe
Erscheinungsdatum
01.07.1998
Herausgeber
F. W. Gehring + weitereVerlag
SpringerSeitenzahl
394
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.
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.
Weitere Bände von Graduate Texts in Mathematics
-
Zur Artikeldetailseite von Graph Theory des Autors Reinhard Diestel
Band 173Reinhard Diestel
Graph TheoryBuch
Fr. 103.00
-
Zur Artikeldetailseite von Foundations of Real and Abstract Analysis des Autors Douglas S. Bridges
Band 174Douglas S. Bridges
Foundations of Real and Abstract AnalysisBuch
Fr. 99.90
-
Zur Artikeldetailseite von An Introduction to Knot Theory des Autors W.B.Raymond Lickorish
Band 175W.B.Raymond Lickorish
An Introduction to Knot TheoryBuch
Fr. 95.90
-
Zur Artikeldetailseite von Introduction to Riemannian Manifolds des Autors John M. Lee
Band 176John M. Lee
Introduction to Riemannian ManifoldsBuch
Fr. 92.90
-
Zur Artikeldetailseite von Analytic Number Theory des Autors Donald J. Newman
Band 177Donald J. Newman
Analytic Number TheoryBuch
Fr. 92.90
-
Zur Artikeldetailseite von Nonsmooth Analysis and Control Theory des Autors Francis H. Clarke
Band 178Francis H. Clarke
Nonsmooth Analysis and Control TheoryBuch
Fr. 160.00
-
Zur Artikeldetailseite von Banach Algebra Techniques in Operator Theory des Autors Ronald G. Douglas
Band 179Ronald G. Douglas
Banach Algebra Techniques in Operator TheoryBuch
Fr. 99.90
-
Zur Artikeldetailseite von A Course on Borel Sets des Autors S.M. Srivastava
Band 180S.M. Srivastava
A Course on Borel SetsBuch
Fr. 112.00
-
Zur Artikeldetailseite von Numerical Analysis des Autors Rainer Kress
Band 181Rainer Kress
Numerical AnalysisBuch
Fr. 112.00
-
Zur Artikeldetailseite von Ordinary Differential Equations des Autors Wolfgang Walter
Band 182Wolfgang Walter
Ordinary Differential EquationsBuch
Fr. 119.00
-
Zur Artikeldetailseite von An Introduction to Banach Space Theory des Autors Robert E. Megginson
Band 183Robert E. Megginson
An Introduction to Banach Space TheoryBuch
Fr. 137.00
-
Zur Artikeldetailseite von Modern Graph Theory des Autors Bela Bollobas
Band 184Bela Bollobas
Modern Graph TheoryBuch
Fr. 183.00
Unsere Kundinnen und Kunden meinen
Verfassen Sie die erste Bewertung zu diesem Artikel
Helfen Sie anderen Kund*innen durch Ihre Meinung
Erste Bewertung verfassen