Directions In Infinite Graph Theory And Combinatorics

Author : R. Diestel
Publisher : Elsevier
Page : 128 pages
File Size : 47,5 Mb
Release : 2016-06-06
Category : Mathematics
ISBN : 9781483294797

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Directions in Infinite Graph Theory and Combinatorics by R. Diestel Pdf

This book has arisen from a colloquium held at St. John's College, Cambridge, in July 1989, which brought together most of today's leading experts in the field of infinite graph theory and combinatorics. This was the first such meeting ever held, and its aim was to assess the state of the art in the discipline, to consider its links with other parts of mathematics, and to discuss possible directions for future development. This volume reflects the Cambridge meeting in both level and scope. It contains research papers as well as expository surveys of particular areas. Together they offer a comprehensive portrait of infinite graph theory and combinatorics, which should be particularly attractive to anyone new to the discipline.

Author : Reinhard Diestel
Publisher : Unknown
Page : 385 pages
File Size : 45,9 Mb
Release : 1991
Category : Combinatorial analysis
ISBN : OCLC:214308796

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Directions in infinite graph theory and combinatorics by Reinhard Diestel Pdf

Author : Reinhard Diestel
Publisher : Unknown
Page : 385 pages
File Size : 54,9 Mb
Release : 1992
Category : Mathematics
ISBN : 0444894144

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Directions in Infinite Graph Theory and Combinatorics by Reinhard Diestel Pdf

This book has arisen from a colloquium held at St. John's College, Cambridge, in July 1989, which brought together most of today's leading experts in the field of infinite graph theory and combinatorics. This was the first such meeting ever held, and its aim was to assess the state of the art in the discipline, to consider its links with other parts of mathematics, and to discuss possible directions for future development. This volume reflects the Cambridge meeting in both level and scope. It contains research papers as well as expository surveys of particular areas. Together they offer a comprehensive portrait of infinite graph theory and combinatorics, which should be particularly attractive to anyone new to the discipline.

Author : Reinhard Diestel
Publisher : Springer-Verlag, © Reinhard Diestel
Page : 447 pages
File Size : 48,5 Mb
Release : 2017-02-01
Category : Electronic
ISBN : 9783961340057

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Graph Theory by Reinhard Diestel Pdf

Professional electronic edition available from http://diestel-graph-theory.com/professional.html This standard textbook of modern graph theory, now in its fifth 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. New in this 5th edition: Sections on tangles and tree-width, on tree packing and covering, and on topological spaces as inverse limits of finite graphs. Several new proofs of classical theorems. Many new exercises. 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 "Deep, clear, wonderful. This is a serious book about the heart of graph theory. It has depth and integrity." Persi Diaconis & Ron Graham, SIAM Review “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 “…like listening to someone explain mathematics.” Bulletin of the AMS

Author : L.D. Andersen,J. Bang-Jensen,T.R. Jensen,L.K. Jørgensen,G. Sabidussi,C. Thomassen,B. Toft,P.D. Vestergaard
Publisher : Elsevier
Page : 128 pages
File Size : 53,8 Mb
Release : 2016-06-06
Category : Mathematics
ISBN : 9781483296326

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The Julius Petersen Graph Theory Centennial by L.D. Andersen,J. Bang-Jensen,T.R. Jensen,L.K. Jørgensen,G. Sabidussi,C. Thomassen,B. Toft,P.D. Vestergaard Pdf

Julius Petersen's paper, Die Theorie der regulären graphs in Acta Mathematica, volume 15 (1891), stands at the beginning of graph theory as we know it today. The Danish group of graph theorists decided in 1985 to mark the 150th birthday of Petersen in 1989, as well as the centennial of his paper. It was felt that the occasion called for a presentation of Petersen's famous paper in its historical context and, in a wider sense, of Petersen's life and work as a whole. However, the readily available information about Julius Petersen amounted to very little (not even a full bibliography existed) and virtually nothing was known about the circumstances that led him to write his famous paper. The study of Petersen's life and work has resulted in several papers, in particular a biography, a bibliography, an annotated edition of the letters surrounding Petersen's paper of 1891, an analysis of Petersen's paper and an annotated edition of parts of Petersen's correspondence with Sylow on Galois theory. The first four of these papers, together with a survey of matching theory, form the first part of this book. In addition to these five special papers, there are papers submitted in the celebration of the Petersen centennial.

Author : Peter Jephson Cameron
Publisher : Cambridge University Press
Page : 372 pages
File Size : 48,7 Mb
Release : 1994-10-06
Category : Mathematics
ISBN : 0521457610

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Combinatorics by Peter Jephson Cameron Pdf

Combinatorics is a subject of increasing importance, owing to its links with computer science, statistics and algebra. This is a textbook aimed at second-year undergraduates to beginning graduates. It stresses common techniques (such as generating functions and recursive construction) which underlie the great variety of subject matter and also stresses the fact that a constructive or algorithmic proof is more valuable than an existence proof. The book is divided into two parts, the second at a higher level and with a wider range than the first. Historical notes are included which give a wider perspective on the subject. More advanced topics are given as projects and there are a number of exercises, some with solutions given.

Author : Peter J. Cameron
Publisher : Cambridge University Press
Page : 372 pages
File Size : 49,6 Mb
Release : 1994-10-06
Category : Mathematics
ISBN : 9781107393370

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Combinatorics by Peter J. Cameron Pdf

Combinatorics is a subject of increasing importance, owing to its links with computer science, statistics and algebra. This is a textbook aimed at second-year undergraduates to beginning graduates. It stresses common techniques (such as generating functions and recursive construction) which underlie the great variety of subject matter and also stresses the fact that a constructive or algorithmic proof is more valuable than an existence proof. The book is divided into two parts, the second at a higher level and with a wider range than the first. Historical notes are included which give a wider perspective on the subject. More advanced topics are given as projects and there are a number of exercises, some with solutions given.

Author : Robin J. Wilson
Publisher : Pitman Publishing
Page : 164 pages
File Size : 53,5 Mb
Release : 1979
Category : Mathematics
ISBN : UOM:39015040421797

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Graph Theory and Combinatorics by Robin J. Wilson Pdf

This book presents the proceedings of a one-day conference in Combinatorics and Graph Theory held at The Open University, England, on 12 May 1978. The first nine papers presented here were given at the conference, and cover a wide variety of topics ranging from topological graph theory and block designs to latin rectangles and polymer chemistry. The submissions were chosen for their facility in combining interesting expository material in the areas concerned with accounts of recent research and new results in those areas.

Author : J. W. P. Hirschfeld
Publisher : Cambridge University Press
Page : 324 pages
File Size : 46,5 Mb
Release : 2001-07-05
Category : Mathematics
ISBN : 0521002702

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Surveys in Combinatorics, 2001 by J. W. P. Hirschfeld Pdf

This volume contains the invited talks from the 18th British Combinatorial Conference, held in 2001.

Author : Ervin Gyori,Gyula O.H. Katona,László Lovász
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 55,6 Mb
Release : 2008-10-20
Category : Mathematics
ISBN : 9783540772002

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Horizons of Combinatorics by Ervin Gyori,Gyula O.H. Katona,László Lovász Pdf

Hungarian mathematics has always been known for discrete mathematics, including combinatorial number theory, set theory and recently random structures, and combinatorial geometry. The recent volume contains high level surveys on these topics with authors mostly being invited speakers for the conference "Horizons of Combinatorics" held in Balatonalmadi, Hungary in 2006. The collection gives an overview of recent trends and results in a large part of combinatorics and related topics.

Author : Béla Bollobás,Andrew Thomason
Publisher : Cambridge University Press
Page : 588 pages
File Size : 48,7 Mb
Release : 1997-05-22
Category : Mathematics
ISBN : 0521584728

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Combinatorics, Geometry and Probability by Béla Bollobás,Andrew Thomason Pdf

A panorama of combinatorics by the world's experts.

Author : B. Bollobás
Publisher : Elsevier
Page : 200 pages
File Size : 44,7 Mb
Release : 1982-01-01
Category : Mathematics
ISBN : 0080871739

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Graph Theory by B. Bollobás Pdf

The Cambridge Graph Theory Conference, held at Trinity College from 11 to 13 March 1981, brought together top ranking workers from diverse areas of the subject. The papers presented were by invitation only. This volume contains most of the contniutions, suitably refereed and revised. For many years now, graph theory has been developing at a great pace and in many directions. In order to emphasize the variety of questions and to preserve the freshness of research, the theme of the meeting was not restricted. Consequently, the papers in this volume deal with many aspects of graph theory, including colouring, connectivity, cycles, Ramsey theory, random graphs, flows, simplicial decompositions and directed graphs. A number of other papers are concerned with related areas, including hypergraphs, designs, algorithms, games and social models. This wealth of topics should enhance the attractiveness of the volume.

Author : Jaroslav Nešetřil,Marco Pellegrini
Publisher : Springer Science & Business Media
Page : 600 pages
File Size : 43,8 Mb
Release : 2014-01-18
Category : Mathematics
ISBN : 9788876424755

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The Seventh European Conference on Combinatorics, Graph Theory and Applications by Jaroslav Nešetřil,Marco Pellegrini Pdf

In the tradition of EuroComb'01 (Barcelona), Eurocomb'03 (Prague), EuroComb'05 (Berlin), Eurocomb'07 (Seville), Eurocomb'09 (Bordeaux), and Eurocomb'11 (Budapest), this volume covers recent advances in combinatorics and graph theory including applications in other areas of mathematics, computer science and engineering. Topics include, but are not limited to: Algebraic combinatorics, combinatorial geometry, combinatorial number theory, combinatorial optimization, designs and configurations, enumerative combinatorics, extremal combinatorics, ordered sets, random methods, topological combinatorics.

Author : Jonathan L Gross,Jay Yellen,Mark Anderson
Publisher : CRC Press
Page : 904 pages
File Size : 42,5 Mb
Release : 2023-05-24
Category : Mathematics
ISBN : 9781000884081

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Topics in Graph Theory by Jonathan L Gross,Jay Yellen,Mark Anderson Pdf

The interplay continues to grow between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences. Topics in Graph Theory is geared toward the more mathematically mature student. The first three chapters provide the basic definitions and theorems of graph theory and the remaining chapters introduce a variety of topics and directions for research. These topics draw on numerous areas of theoretical and applied mathematics, including combinatorics, probability, linear algebra, group theory, topology, operations research, and computer science. This makes the book appropriate for a first course at the graduate level or as a second course at the undergraduate level. The authors build upon material previously published in Graph Theory and Its Applications, Third Edition, by the same authors. That text covers material for both an undergraduate and graduate course, while this book builds on and expands the graduate-level material. Features Extensive exercises and applications. Flexibility: appropriate for either a first course at the graduate level or an advanced course at the undergraduate level. Opens avenues to a variety of research areas in graph theory. Emphasis on topological and algebraic graph theory.

Author : Ronald L. Graham,Jaroslav Nešetřil,Steve Butler
Publisher : Springer Science & Business Media
Page : 607 pages
File Size : 43,6 Mb
Release : 2013-08-04
Category : Mathematics
ISBN : 9781461472544

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The Mathematics of Paul Erdős II by Ronald L. Graham,Jaroslav Nešetřil,Steve Butler Pdf

This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdős' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdős complement this striking collection. A unique contribution is the bibliography on Erdős' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdős' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, and more biographical information about Paul Erdős with an updated list of publications. The second volume contains chapters on graph theory and combinatorics, extremal and Ramsey theory, and a section on infinity that covers Erdős' research on set theory. All of these chapters are essentially updated, particularly the extremal theory chapter that contains a survey of flag algebras, a new technique for solving extremal problems.