Graph Theory

Author: Reinhard Diestel
Publisher: Reinhard Diestel
ISBN:
Release Date: 2012-07-01
Genre:

This standard textbook of modern graph theory, now in its fourth edition, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses of more advanced methods in each field by one or two deeper results, again with proofs given in full detail. The book can be used as a reliable text for an introductory course, as a graduate text, and for self-study. Various eBook editions for computers and tablets are available from the author's website for the book, at a 72% discount. From the reviews: “This outstanding book cannot be substituted with any other book on the present textbook market. It has every chance of becoming the standard textbook for graph theory.” Acta Scientiarum Mathematicarum “The book has received a very enthusiastic reception, which it amply deserves. A masterly elucidation of modern graph theory.” Bulletin of the Institute of Combinatorics and its Applications “Succeeds dramatically… a hell of a good book.” MAA Reviews “A highlight of the book is what is by far the best account in print of the Seymour-Robertson theory of graph minors.” Mathematika "Deep, clear, wonderful" Ron Graham in SIAM book reviews “…like listening to someone explain mathematics.” Bulletin of the AMS

Graphentheorie

Author: Reinhard Diestel
Publisher:
ISBN: 364214912X
Release Date: 2010
Genre: Graph theory

HauptbeschreibungDetailliert und klar, sowie stets mit Blick auf das Wesentliche, führt dieses Buchin die Graphentheorie ein. Zu jedem Themenkomplex stellt es sorgfältig dieGrundlagen dar und beweist dann ein oder zwei tiefere typische Sätze, oftmalsergänzt durch eine informelle Diskussion ihrer tragenden Ideen. Es vermitteltso exemplarisch die wichtigsten Methoden der heutigen Graphentheorie, einschließlich moderner Techniken wie Regularitätslemma, Zufallsgraphen, Baumzerlegungen und Minoren.€Rezension"Eine hervorragende und mit größter Sorgfalt geschriebene Einführung in diemoderne Graphe.

Graphentheorie

Author: Reinhard Diestel
Publisher: Springer Science & Business Media
ISBN: 3540213910
Release Date: 2006
Genre: Graph theory

Die nunmehr dritte Auflage des von der Kritik hochgelobten Springer Graduate Texts, Graph Theory, erscheint hier in einer dem englischen Original weitgehend angeglichenen und nur leicht gekurzten deutschen Fassung: als verlassliche Textgrundlage fur deutschsprachige Vorlesungen (auch einfuhrende), sowie zum Selbststudium. Aus der Kritik der englischen Originalausgabe (GTM 173): "This outstanding book cannot be substituted with any other book on the present textbook market. It has every chance of becoming the standard textbook for graph theory." Acta Scientiarum Mathematicarum "This book has received a very enthusiastic reception, which it amply deserves. A masterly elucidation of modern graph theory." Bulletin of the ICA ..".like listening to someone explain mathematics." Bulletin of the AMS Weitere Informationen, und Online-Ausgabe zum Testen: www.math.uni-hamburg.de/home/diestel/books/graphentheorie

Graphentheorie

Author: Reinhard Diestel
Publisher: Springer
ISBN: 3540676562
Release Date: 2000-01
Genre: Graph theory

Hier in aktueller Neuauflage ist die eigenstdndige deutsche Fassung des von der Kritik hochgelobten Springer Graduate Text Graph Theory, zur Verwendung als Textgrundlage deutschsprachiger Vorlesungen ber Graphentheorie oder verwandte Gebiete, zum Selbststudium oder als Nachschlagewerk f r Mathematiker anderer Fachrichtungen.Neu ist vor allem ein den j ngsten Entwicklungen Rechnung tragendes Kapitel zur Minorentheorie von Robertson-Seymour und ein vollstdndiger Satz von Lvsungshinweisen der \bungsaufgaben. Geblieben sind die Klarheit und Sorgfalt im Detail der Darstellung, die klare Themenwahl unter Ber cksichtigung neuester Entwicklungen, sowie die Konzentration auf das Wesentliche, die bereits die erste Auflage auszeichneten.Weitere Informationen und Probekapitel zu dem Buch finden Sie unter http: //www.springeronline.com/sgw/cda/frontpage/0,10735,1-40109-22-2042397-0,00.html www.math.uni-hamburg.de/home/diestel/books/graphentheorie

Graph Theory Graduate Texts in Mathematics 173

Author: R. Diestel
Publisher:
ISBN: OCLC:808036567
Release Date: 2000
Genre:

This book is a concise - yet most carefully written - introduction to modern graph theory, covering all its major recent developments. It can be used both as a reliable textbook for an introductory course and as a graduate text: on each topic it covers all the basic material in full detail, and adds one or two deeper results (again with detailed proofs) to illustrate the more advanced methods of that field.

Graph Theory

Author: Adrian Bondy
Publisher: Springer
ISBN: 9781846289699
Release Date: 2011-09-27
Genre: Mathematics

The primary aim of this book is to present a coherent introduction to graph theory, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic treatment of the theory of graphs without sacrificing its intuitive and aesthetic appeal. Commonly used proof techniques are described and illustrated. The book also serves as an introduction to research in graph theory.

Algebraic Graph Theory

Author: Chris Godsil
Publisher: Springer Science & Business Media
ISBN: 9781461301639
Release Date: 2013-12-01
Genre: Mathematics

This book presents and illustrates the main tools and ideas of algebraic graph theory, with a primary emphasis on current rather than classical topics. It is designed to offer self-contained treatment of the topic, with strong emphasis on concrete examples.

Modern Graph Theory

Author: Bela Bollobas
Publisher: Springer Science & Business Media
ISBN: 9781461206194
Release Date: 2013-12-01
Genre: Mathematics

An in-depth account of graph theory, written for serious students of mathematics and computer science. It reflects the current state of the subject and emphasises connections with other branches of pure mathematics. Recognising 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 flavour of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory, the book presents a detailed account of newer topics, including Szemerédis Regularity Lemma and its use, Shelahs 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. Moreover, the book contains over 600 well thought-out exercises: although some are straightforward, most are substantial, and some will stretch even the most able reader.

A Textbook of Graph Theory

Author: R. Balakrishnan
Publisher: Springer Science & Business Media
ISBN: 9781461445289
Release Date: 2012-09-20
Genre: Mathematics

In its second edition, expanded with new chapters on domination in graphs and on the spectral properties of graphs, this book offers a solid background in the basics of graph theory. Introduces such topics as Dirac's theorem on k-connected graphs and more.

Graph Theory

Author: Bela Bollobas
Publisher: Springer Science & Business Media
ISBN: 9781461299677
Release Date: 2012-12-06
Genre: Mathematics

From the reviews: "Béla Bollobás introductory course on graph theory deserves to be considered as a watershed in the development of this theory as a serious academic subject. ... The book has chapters on electrical networks, flows, connectivity and matchings, extremal problems, colouring, Ramsey theory, random graphs, and graphs and groups. Each chapter starts at a measured and gentle pace. Classical results are proved and new insight is provided, with the examples at the end of each chapter fully supplementing the text... Even so this allows an introduction not only to some of the deeper results but, more vitally, provides outlines of, and firm insights into, their proofs. Thus in an elementary text book, we gain an overall understanding of well-known standard results, and yet at the same time constant hints of, and guidelines into, the higher levels of the subject. It is this aspect of the book which should guarantee it a permanent place in the literature." #Bulletin of the London Mathematical Society#1

Das BUCH der Beweise

Author: Martin Aigner
Publisher: Springer-Verlag
ISBN: 9783662444573
Release Date: 2014-08-25
Genre: Mathematics

Diese sorgfältig überarbeitete und deutlich erweiterte vierte deutsche Auflage von "Das BUCH der Beweise" enthält auch vier neue Kapitel: Diese präsentieren originelle und elegante Beweise für Klassiker, wie den Spektralsatz der Linearen Algebra, aber auch neuere Brillanten, wie zum Beispiel die Nichtexistenz der Borromäischen Ringe - und weitere Überraschungen. Aus den Rezensionen: "Was hier vorliegt ist eine Sammlung von Beweisen, die in das von Paul Erdös immer wieder zitierte BUCH gehören, das vom lieben (?) Gott verwahrt wird und das die perfekten Beweise aller mathematischen Sätze enthält. Manchmal lässt der Herrgott auch einige von uns Sterblichen in das BUCH blicken, und die so resultierenden Geistesblitze erhellen den Mathematikeralltag mit eleganten Argumenten, überraschenden Zusammenhängen und unerwarteten Volten." www.mathematik.de, Mai 2002 "Eine einzigartige Sammlung eleganter mathematischer Beweise nach der Idee von Paul Erdös, verständlich geschrieben von exzellenten Mathematikern. Dieses Buch gibt anregende Lösungen mit Aha-Effekt, auch für Nicht-Mathematiker." www.vismath.de "Ein prächtiges, äußerst sorgfältig und liebevoll gestaltetes Buch! Erdös hatte die Idee DES BUCHES, in dem Gott die perfekten Beweise mathematischer Sätze eingeschrieben hat. Das hier gedruckte Buch will eine "very modest approximation" an dieses BUCH sein.... Das Buch von Aigner und Ziegler ist gelungen ..." Mathematische Semesterberichte, November 1999 "Wer (wie ich) bislang vergeblich versucht hat, einen Blick ins BUCH zu werfen, wird begierig in Aigners und Zieglers BUCH der Beweise schmökern." www.mathematik.de, Mai 2002

A Beginner s Guide to Graph Theory

Author: W.D. Wallis
Publisher: Springer Science & Business Media
ISBN: 0817645802
Release Date: 2010-05-05
Genre: Mathematics

Concisely written, gentle introduction to graph theory suitable as a textbook or for self-study Graph-theoretic applications from diverse fields (computer science, engineering, chemistry, management science) 2nd ed. includes new chapters on labeling and communications networks and small worlds, as well as expanded beginner's material Many additional changes, improvements, and corrections resulting from classroom use

Graph Theory for Operations Research and Management Applications in Industrial Engineering

Author: Farahani, Reza Zanjirani
Publisher: IGI Global
ISBN: 9781466626928
Release Date: 2012-12-31
Genre: Technology & Engineering

While typically many approaches have been mainly mathematics focused, graph theory has become a tool used by scientists, researchers, and engineers in using modeling techniques to solve real-world problems. Graph Theory for Operations Research and Management: Applications in Industrial Engineering presents traditional and contemporary applications of graph theory in the areas of industrial engineering, management science, and applied operations research. This comprehensive collection of research introduces the useful basic concepts of graph theory in real world applications.