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Directions In Infinite Graph Theory And Combinatorics
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Book Synopsis Directions in Infinite Graph Theory and Combinatorics by : R. Diestel
Download or read book Directions in Infinite Graph Theory and Combinatorics written by R. Diestel and published by Elsevier. This book was released on 2016-06-06 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Directions in infinite graph theory and combinatorics by : Reinhard Diestel
Download or read book Directions in infinite graph theory and combinatorics written by Reinhard Diestel and published by . This book was released on 1991 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Directions in Infinite Graph Theory and Combinatorics by : Reinhard Diestel
Download or read book Directions in Infinite Graph Theory and Combinatorics written by Reinhard Diestel and published by . This book was released on 1992 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Directions in Infinite Graph Theory and Combinatorics by : R Diestel
Download or read book Directions in Infinite Graph Theory and Combinatorics written by R Diestel and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A First Course in Graph Theory and Combinatorics by : Sebastian M. Cioabă
Download or read book A First Course in Graph Theory and Combinatorics written by Sebastian M. Cioabă and published by Springer Nature. This book was released on 2022-07-07 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the origin of graph theory from its humble beginnings in recreational mathematics to its modern setting or modeling communication networks, as is evidenced by the World Wide Web graph used by many Internet search engines. The second edition of the book includes recent developments in the theory of signed adjacency matrices involving the proof of sensitivity conjecture and the theory of Ramanujan graphs. In addition, the book discusses topics such as Pick’s theorem on areas of lattice polygons and Graham–Pollak’s work on addressing of graphs. The concept of graph is fundamental in mathematics and engineering, as it conveniently encodes diverse relations and facilitates combinatorial analysis of many theoretical and practical problems. The text is ideal for a one-semester course at the advanced undergraduate level or beginning graduate level.
Book Synopsis Graph Theory, Combinatorics, and Applications by : Y. Alavi
Download or read book Graph Theory, Combinatorics, and Applications written by Y. Alavi and published by Wiley-Interscience. This book was released on 1991 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Graph Theory and Additive Combinatorics by : Yufei Zhao
Download or read book Graph Theory and Additive Combinatorics written by Yufei Zhao and published by Cambridge University Press. This book was released on 2023-07-31 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the dichotomy of structure and pseudorandomness as a central theme, this accessible text provides a modern introduction to extremal graph theory and additive combinatorics. Readers will explore central results in additive combinatorics-notably the cornerstone theorems of Roth, Szemerédi, Freiman, and Green-Tao-and will gain additional insights into these ideas through graph theoretic perspectives. Topics discussed include the Turán problem, Szemerédi's graph regularity method, pseudorandom graphs, graph limits, graph homomorphism inequalities, Fourier analysis in additive combinatorics, the structure of set addition, and the sum-product problem. Important combinatorial, graph theoretic, analytic, Fourier, algebraic, and geometric methods are highlighted. Students will appreciate the chapter summaries, many figures and exercises, and freely available lecture videos on MIT OpenCourseWare. Meant as an introduction for students and researchers studying combinatorics, theoretical computer science, analysis, probability, and number theory, the text assumes only basic familiarity with abstract algebra, analysis, and linear algebra.
Book Synopsis Graph Theory and Combinatorics by : Robin J. Wilson
Download or read book Graph Theory and Combinatorics written by Robin J. Wilson and published by Pitman Publishing. This book was released on 1979 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Advanced Graph Theory and Combinatorics by : Michel Rigo
Download or read book Advanced Graph Theory and Combinatorics written by Michel Rigo and published by John Wiley & Sons. This book was released on 2016-12-27 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Graph Theory focuses on some of the main notions arising in graph theory with an emphasis from the very start of the book on the possible applications of the theory and the fruitful links existing with linear algebra. The second part of the book covers basic material related to linear recurrence relations with application to counting and the asymptotic estimate of the rate of growth of a sequence satisfying a recurrence relation.
Book Synopsis Graph Theory and Combinatorial Optimization by : David Avis
Download or read book Graph Theory and Combinatorial Optimization written by David Avis and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is very much tied to the geometric properties of optimization and combinatorial optimization. Moreover, graph theory's geometric properties are at the core of many research interests in operations research and applied mathematics. Its techniques have been used in solving many classical problems including maximum flow problems, independent set problems, and the traveling salesman problem. Graph Theory and Combinatorial Optimization explores the field's classical foundations and its developing theories, ideas and applications to new problems. The book examines the geometric properties of graph theory and its widening uses in combinatorial optimization theory and application. The field's leading researchers have contributed chapters in their areas of expertise.
Book Synopsis Graph Theory and Finite Combinatorics by : Sabra S. Anderson
Download or read book Graph Theory and Finite Combinatorics written by Sabra S. Anderson and published by . This book was released on 1970 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Combinatorial Problems in Graph Theory by : N.B. Singh
Download or read book Combinatorial Problems in Graph Theory written by N.B. Singh and published by N.B. Singh. This book was released on with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Combinatorial Problems in Graph Theory" offers a comprehensive introduction to the fundamentals of graph theory for beginners. Exploring the fascinating world of graphs, this book covers essential concepts, from basic definitions to advanced applications across diverse fields such as computer science, optimization, and social networks. With clear explanations, practical examples, and engaging problems, it equips readers with the foundational knowledge needed to understand and solve combinatorial problems using graph theory. Ideal for students and enthusiasts alike, this book serves as an accessible entry point into this essential branch of mathematics.
Book Synopsis Large Networks and Graph Limits by : László Lovász
Download or read book Large Networks and Graph Limits written by László Lovász and published by American Mathematical Soc.. This book was released on 2012 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently, it became apparent that a large number of the most interesting structures and phenomena of the world can be described by networks. To develop a mathematical theory of very large networks is an important challenge. This book describes one recent approach to this theory, the limit theory of graphs, which has emerged over the last decade. The theory has rich connections with other approaches to the study of large networks, such as ``property testing'' in computer science and regularity partition in graph theory. It has several applications in extremal graph theory, including the exact formulations and partial answers to very general questions, such as which problems in extremal graph theory are decidable. It also has less obvious connections with other parts of mathematics (classical and non-classical, like probability theory, measure theory, tensor algebras, and semidefinite optimization). This book explains many of these connections, first at an informal level to emphasize the need to apply more advanced mathematical methods, and then gives an exact development of the theory of the algebraic theory of graph homomorphisms and of the analytic theory of graph limits. This is an amazing book: readable, deep, and lively. It sets out this emerging area, makes connections between old classical graph theory and graph limits, and charts the course of the future. --Persi Diaconis, Stanford University This book is a comprehensive study of the active topic of graph limits and an updated account of its present status. It is a beautiful volume written by an outstanding mathematician who is also a great expositor. --Noga Alon, Tel Aviv University, Israel Modern combinatorics is by no means an isolated subject in mathematics, but has many rich and interesting connections to almost every area of mathematics and computer science. The research presented in Lovasz's book exemplifies this phenomenon. This book presents a wonderful opportunity for a student in combinatorics to explore other fields of mathematics, or conversely for experts in other areas of mathematics to become acquainted with some aspects of graph theory. --Terence Tao, University of California, Los Angeles, CA Laszlo Lovasz has written an admirable treatise on the exciting new theory of graph limits and graph homomorphisms, an area of great importance in the study of large networks. It is an authoritative, masterful text that reflects Lovasz's position as the main architect of this rapidly developing theory. The book is a must for combinatorialists, network theorists, and theoretical computer scientists alike. --Bela Bollobas, Cambridge University, UK
Book Synopsis Graph Theory, Combinatorics, and Algorithms, 2 Volume Set by : Yousef Alavi
Download or read book Graph Theory, Combinatorics, and Algorithms, 2 Volume Set written by Yousef Alavi and published by Wiley-Interscience. This book was released on 1995 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of conference proceedings contains selected papers on graph theory and other areas of combinatorics. The contributors include some of the leading names in discrete mathematics research, such as Frank Harary, Doug West, Joel Spencer and Paul Edros.
Book Synopsis Finite and Infinite Sets by : A. Hajnal
Download or read book Finite and Infinite Sets written by A. Hajnal and published by . This book was released on 1984 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Finite and Infinite Graphs by : Denes König
Download or read book Theory of Finite and Infinite Graphs written by Denes König and published by Springer Science & Business Media. This book was released on 1990 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: To most graph theorists there are two outstanding landmarks in the history of their subject. One is Euler's solution of the Konigsberg Bridges Problem, dated 1736, and the other is the appearance of Denes Konig's textbook in 1936. "From Konigsberg to Konig's book" sings the poetess, "So runs the graphic tale . . . " [10]. There were earlier books that took note of graph theory. Veb len's Analysis Situs, published in 1931, is about general combinato rial topology. But its first two chapters, on "Linear graphs" and "Two-Dimensional Complexes", are almost exclusively concerned with the territory still explored by graph theorists. Rouse Ball's Mathematical Recreations and Essays told, usually without proofs, of the major graph-theoretical advances ofthe nineteenth century, of the Five Colour Theorem, of Petersen's Theorem on I-factors, and of Cayley's enumerations of trees. It was Rouse Ball's book that kindled my own graph-theoretical enthusiasm. The graph-theoretical papers of Hassler Whitney, published in 1931-1933, would have made an excellent textbook in English had they been collected and published as such. But the honour of presenting Graph Theory to the mathe matical world as a subject in its own right, with its own textbook, belongs to Denes Konig. Low was the prestige of Graph Theory in the Dirty Thirties. It is still remembered, with resentment now shading into amuse ment, how one mathematician scorned it as "The slums of Topol ogy".
Book Synopsis Graph Theory and Combinatorics 1988 by : B. Bollobás
Download or read book Graph Theory and Combinatorics 1988 written by B. Bollobás and published by Elsevier. This book was released on 1989-07-01 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics has not been an established branch of mathematics for very long: the last quarter of a century has seen an explosive growth in the subject. This growth has been largely due to the doyen of combinatorialists, Paul Erdős, whose penetrating insight and insatiable curiosity has provided a huge stimulus for workers in the field. There is hardly any branch of combinatorics that has not been greatly enriched by his ideas. This volume is dedicated to Paul Erdős on the occasion of his seventy-fifth birthday.