Graph Factors And Matching Extensions

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Graph Factors and Matching Extensions

Author : Qinglin Roger Yu
Publisher : Springer
ISBN 13 : 9783540958833
Total Pages : 353 pages
Book Rating : 4.9/5 (588 download)

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Book Synopsis Graph Factors and Matching Extensions by : Qinglin Roger Yu

Download or read book Graph Factors and Matching Extensions written by Qinglin Roger Yu and published by Springer. This book was released on 2011-09-18 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Graph Factors and Matching Extensions" deals with two important branches of graph theory – factor theory and extendable graphs. Due to the mature techniques and wide ranges of applications, factors and matchings become useful tools in investigation of many theoretical problems and practical issues. This book includes basic techniques, theoretical foundations, as well as recent advances in the field. It also discusses open problems and conjectures to inspire the readers. This book is primarily aimed at researchers and graduate students in graph theory and combinatorics in general. However, all the necessary prerequisites are developed from scratch and should be accessible to upper-level undergraduate students with prior knowledge of graph theory. Dr. Yu is a professor in the Department of Mathematics and Statistics at the Thompson Rivers University of Canada. His research interests include graph theory and combinatorial optimization. Dr. Liu is a professor in the School of Mathematics at Shandong University of China. Her research interests include graph theory and matroid theory.

Factors and Factorizations of Graphs

Author : Jin Akiyama
Publisher : Springer Science & Business Media
ISBN 13 : 3642219187
Total Pages : 362 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Factors and Factorizations of Graphs by : Jin Akiyama

Download or read book Factors and Factorizations of Graphs written by Jin Akiyama and published by Springer Science & Business Media. This book was released on 2011-06-23 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book chronicles the development of graph factors and factorizations. It pursues a comprehensive approach, addressing most of the important results from hundreds of findings over the last century. One of the main themes is the observation that many theorems can be proved using only a few standard proof techniques. This stands in marked contrast to the seemingly countless, complex proof techniques offered by the extant body of papers and books. In addition to covering the history and development of this area, the book offers conjectures and discusses open problems. It also includes numerous explanatory figures that enable readers to progressively and intuitively understand the most important notions and proofs in the area of factors and factorization.

Handbook of Graph Theory

Author : Jonathan L. Gross
Publisher : CRC Press
ISBN 13 : 1439880190
Total Pages : 1606 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Handbook of Graph Theory by : Jonathan L. Gross

Download or read book Handbook of Graph Theory written by Jonathan L. Gross and published by CRC Press. This book was released on 2013-12-17 with total page 1606 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the ten years since the publication of the best-selling first edition, more than 1,000 graph theory papers have been published each year. Reflecting these advances, Handbook of Graph Theory, Second Edition provides comprehensive coverage of the main topics in pure and applied graph theory. This second edition-over 400 pages longer than its prede

Building Bridges

Author : Martin Grötschel
Publisher : Springer Science & Business Media
ISBN 13 : 9783540852186
Total Pages : 552 pages
Book Rating : 4.8/5 (521 download)

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Book Synopsis Building Bridges by : Martin Grötschel

Download or read book Building Bridges written by Martin Grötschel and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles offers an excellent view on the state of combinatorics and related topics. A number of friends and colleagues, all top authorities in their fields of expertise have contributed their latest research papers to this volume.

Matching Theory

Author : László Lovász
Publisher : American Mathematical Soc.
ISBN 13 : 0821847597
Total Pages : 610 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Matching Theory by : László Lovász

Download or read book Matching Theory written by László Lovász and published by American Mathematical Soc.. This book was released on 2009 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys matching theory, with an emphasis on connections with other areas of mathematics and on the role matching theory has played, and continues to play, in the development of some of these areas. Besides basic results on the existence of matchings and on the matching structure of graphs, the impact of matching theory is discussed by providing crucial special cases and nontrivial examples on matroid theory, algorithms, and polyhedral combinatorics. The new Appendix outlines how the theory and applications of matching theory have continued to develop since the book was first published in 1986, by launching (among other things) the Markov Chain Monte Carlo method.

Graph-Theoretic Concepts in Computer Science

Author : Hans L. Bodlaender
Publisher : Springer
ISBN 13 : 3319687050
Total Pages : 440 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Graph-Theoretic Concepts in Computer Science by : Hans L. Bodlaender

Download or read book Graph-Theoretic Concepts in Computer Science written by Hans L. Bodlaender and published by Springer. This book was released on 2017-11-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the revised selected papers of the 43rd International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2017, held in Eindhoven, The Netherlands, in June 2017. The 31 full papers presented in this volume were carefully reviewed and selected from 71 submissions. They cover a wide range of areas, aiming at connecting theory and applications by demonstrating how graph-theoretic concepts can be applied in various areas of computer science. Another focus is on presenting recent results and on identifying and exploring promising directions of future research.

Topics in Structural Graph Theory

Author : Lowell W. Beineke
Publisher : Cambridge University Press
ISBN 13 : 1107244307
Total Pages : 346 pages
Book Rating : 4.1/5 (72 download)

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Book Synopsis Topics in Structural Graph Theory by : Lowell W. Beineke

Download or read book Topics in Structural Graph Theory written by Lowell W. Beineke and published by Cambridge University Press. This book was released on 2012-11-08 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as design theory and is increasingly used in such areas as computer networks where connectivity algorithms are an important feature. Although other books cover parts of this material, none has a similarly wide scope. Ortrud R. Oellermann (Winnipeg), internationally recognised for her substantial contributions to structural graph theory, acted as academic consultant for this volume, helping shape its coverage of key topics. The result is a collection of thirteen expository chapters, each written by acknowledged experts. These contributions have been carefully edited to enhance readability and to standardise the chapter structure, terminology and notation throughout. An introductory chapter details the background material in graph theory and network flows and each chapter concludes with an extensive list of references.

Graph-Theoretic Concepts in Computer Science

Author : Ernst W. Mayr
Publisher : Springer
ISBN 13 : 3662531747
Total Pages : 514 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Graph-Theoretic Concepts in Computer Science by : Ernst W. Mayr

Download or read book Graph-Theoretic Concepts in Computer Science written by Ernst W. Mayr and published by Springer. This book was released on 2016-08-04 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised selected papers from the 41st International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2015, held in Garching, Germany, in June 2015. The 32 papers presented in this volume were carefully reviewed and selected from 79 submissions. They were organized in topical sections named: invited talks; computational complexity; design and analysis; computational geometry; structural graph theory; graph drawing; and fixed parameter tractability.

Handbook of Combinatorics

Author : Ronald L. Graham
Publisher : MIT Press
ISBN 13 : 9780262571722
Total Pages : 1130 pages
Book Rating : 4.5/5 (717 download)

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Book Synopsis Handbook of Combinatorics by : Ronald L. Graham

Download or read book Handbook of Combinatorics written by Ronald L. Graham and published by MIT Press. This book was released on 2003-03 with total page 1130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers combinatorics in graph theory, theoretical computer science, optimization, and convexity theory, plus applications in operations research, electrical engineering, statistical mechanics, chemistry, molecular biology, pure mathematics, and computer science.

Handbook of Combinatorics

Author : Gerard Meurant
Publisher : Elsevier
ISBN 13 : 0080933351
Total Pages : 1120 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Handbook of Combinatorics by : Gerard Meurant

Download or read book Handbook of Combinatorics written by Gerard Meurant and published by Elsevier. This book was released on 1995-12-11 with total page 1120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.

Advances in Computer Science and IT

Author : Dil Hussain
Publisher : BoD – Books on Demand
ISBN 13 : 9537619516
Total Pages : 430 pages
Book Rating : 4.5/5 (376 download)

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Book Synopsis Advances in Computer Science and IT by : Dil Hussain

Download or read book Advances in Computer Science and IT written by Dil Hussain and published by BoD – Books on Demand. This book was released on 2009-12-01 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents some very interesting and excellent articles for this divergent title. The 22 chapters presented here cover core topics of computer science such as visualization of large databases, security, ontology, user interface, graphs, object oriented software developments, and on the engineering side filtering, motion dynamics, adaptive fuzzy logic, and hyper static mechanical systems. It also covers topics which are combination of computer science and engineering such as meta computing, future mobiles, colour image analysis, relative representation and recognition, and neural networks. The book will serve a unique purpose through these multi-disciplined topics to share different but interesting views on each of these topics.

The Julius Petersen Graph Theory Centennial

Author : L.D. Andersen
Publisher : Elsevier
ISBN 13 : 1483296326
Total Pages : pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Julius Petersen Graph Theory Centennial by : L.D. Andersen

Download or read book The Julius Petersen Graph Theory Centennial written by L.D. Andersen and published by Elsevier. This book was released on 2016-06-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Graph Theory in Paris

Author : Adrian Bondy
Publisher : Springer Science & Business Media
ISBN 13 : 3764374004
Total Pages : 387 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Graph Theory in Paris by : Adrian Bondy

Download or read book Graph Theory in Paris written by Adrian Bondy and published by Springer Science & Business Media. This book was released on 2006-12-22 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: In July 2004, a conference on graph theory was held in Paris in memory of Claude Berge, one of the pioneers of the field. The event brought together many prominent specialists on topics such as perfect graphs and matching theory, upon which Claude Berge's work has had a major impact. This volume includes contributions to these and other topics from many of the participants.

Handbook of Combinatorics

Author : R.L. Graham
Publisher : Elsevier
ISBN 13 : 008093384X
Total Pages : 2404 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Handbook of Combinatorics by : R.L. Graham

Download or read book Handbook of Combinatorics written by R.L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 2404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics

Combinatorics with Emphasis on the Theory of Graphs

Author : J. E. Graver
Publisher : Springer Science & Business Media
ISBN 13 : 1461299144
Total Pages : 363 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Combinatorics with Emphasis on the Theory of Graphs by : J. E. Graver

Download or read book Combinatorics with Emphasis on the Theory of Graphs written by J. E. Graver and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics and graph theory have mushroomed in recent years. Many overlapping or equivalent results have been produced. Some of these are special cases of unformulated or unrecognized general theorems. The body of knowledge has now reached a stage where approaches toward unification are overdue. To paraphrase Professor Gian-Carlo Rota (Toronto, 1967), "Combinatorics needs fewer theorems and more theory. " In this book we are doing two things at the same time: A. We are presenting a unified treatment of much of combinatorics and graph theory. We have constructed a concise algebraically based, but otherwise self-contained theory, which at one time embraces the basic theorems that one normally wishes to prove while giving a common terminology and framework for the develop ment of further more specialized results. B. We are writing a textbook whereby a student of mathematics or a mathematician with another specialty can learn combinatorics and graph theory. We want this learning to be done in a much more unified way than has generally been possible from the existing literature. Our most difficult problem in the course of writing this book has been to keep A and B in balance. On the one hand, this book would be useless as a textbook if certain intuitively appealing, classical combinatorial results were either overlooked or were treated only at a level of abstraction rendering them beyond all recognition.

Proof Techniques in Graph Theory

Author : Frank Harary
Publisher :
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proof Techniques in Graph Theory by : Frank Harary

Download or read book Proof Techniques in Graph Theory written by Frank Harary and published by . This book was released on 1969 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Combinatorics Volume 1

Author : Ronald L. Graham
Publisher : Elsevier
ISBN 13 : 9780444823465
Total Pages : 1124 pages
Book Rating : 4.8/5 (234 download)

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Book Synopsis Handbook of Combinatorics Volume 1 by : Ronald L. Graham

Download or read book Handbook of Combinatorics Volume 1 written by Ronald L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.