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.
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.
Download or read book Matching Extensions in the Powers of Graphs written by Kara Lee Walcher and published by . This book was released on 1995 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Matching Extensions in Regular Graphs with Small Diameter written by Ivana Koroman and published by . This book was released on 2019 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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
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.
Download or read book Matching Extension and the Genus of a Graph written by Michael D. Plummer and published by . This book was released on 1986 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let G be a graph with p points having a perfect matching and suppose n is a positive integer with n
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.
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.
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.
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.
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 452 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.
Download or read book Matching Extension and Connectivity in Graphs 1 Introduction and Terminology written by M. D. Plummer and published by . This book was released on 1986 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 516 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.
Download or read book Congressus Numerantium written by and published by . This book was released on 1990 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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
Download or read book Factors and Factorizations of Graphs written by Jin Akiyama and published by . This book was released on 2011-09-02 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
