A Survey Of Combinatorial Theory

Author : Jagdish N. Srivastava
Publisher : Elsevier
Page : 476 pages
File Size : 42,8 Mb
Release : 2014-05-12
Category : Biography & Autobiography
ISBN : 9781483278179

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A Survey of Combinatorial Theory by Jagdish N. Srivastava Pdf

A Survey of Combinatorial Theory covers the papers presented at the International Symposium on Combinatorial Mathematics and its Applications, held at Colorado State University (CSU), Fort Collins, Colorado on September 9-11, 1971. The book focuses on the principles, operations, and approaches involved in combinatorial theory, including the Bose-Nelson sorting problem, Golay code, and Galois geometries. The selection first ponders on classical and modern topics in finite geometrical structures; balanced hypergraphs and applications to graph theory; and strongly regular graph derived from the perfect ternary Golay code. Discussions focus on perfect ternary Golay code, finite projective and affine planes, Galois geometries, and other geometric structures. The book then examines the characterization problems of combinatorial graph theory, line-minimal graphs with cyclic group, circle geometry in higher dimensions, and Cayley diagrams and regular complex polygons. The text discusses combinatorial problems in finite Abelian groups, dissection graphs of planar point sets, combinatorial problems and results in fractional replication, Bose-Nelson sorting problem, and some combinatorial aspects of coding theory. The text also reviews the enumerative theory of planar maps, balanced arrays and orthogonal arrays, existence of resolvable block designs, and combinatorial problems in communication networks. The selection is a valuable source of information for mathematicians and researchers interested in the combinatorial theory.

Author : Marshall Hall
Publisher : John Wiley & Sons
Page : 462 pages
File Size : 42,8 Mb
Release : 2011-08-15
Category : Mathematics
ISBN : 9781118031117

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Combinatorial Theory by Marshall Hall Pdf

Includes proof of van der Waerden's 1926 conjecture on permanents, Wilson's theorem on asymptotic existence, and other developments in combinatorics since 1967. Also covers coding theory and its important connection with designs, problems of enumeration, and partition. Presents fundamentals in addition to latest advances, with illustrative problems at the end of each chapter. Enlarged appendixes include a longer list of block designs.

Author : Martin Aigner
Publisher : Springer Science & Business Media
Page : 489 pages
File Size : 50,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461566663

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Combinatorial Theory by Martin Aigner Pdf

It is now generally recognized that the field of combinatorics has, over the past years, evolved into a fully-fledged branch of discrete mathematics whose potential with respect to computers and the natural sciences is only beginning to be realized. Still, two points seem to bother most authors: The apparent difficulty in defining the scope of combinatorics and the fact that combinatorics seems to consist of a vast variety of more or less unrelated methods and results. As to the scope of the field, there appears to be a growing consensus that combinatorics should be divided into three large parts: (a) Enumeration, including generating functions, inversion, and calculus of finite differences; (b) Order Theory, including finite posets and lattices, matroids, and existence results such as Hall's and Ramsey's; (c) Configurations, including designs, permutation groups, and coding theory. The present book covers most aspects of parts (a) and (b), but none of (c). The reasons for excluding (c) were twofold. First, there exist several older books on the subject, such as Ryser [1] (which I still think is the most seductive introduction to combinatorics), Hall [2], and more recent ones such as Cameron-Van Lint [1] on groups and designs, and Blake-Mullin [1] on coding theory, whereas no compre hensive book exists on (a) and (b).

Author : Anonim
Publisher : Unknown
Page : 1122 pages
File Size : 49,9 Mb
Release : 1994
Category : Combinatorial analysis
ISBN : CHI:41117231

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Journal of Combinatorial Theory by Anonim Pdf

Author : Roger C. Lyndon,Paul E. Schupp
Publisher : Springer
Page : 354 pages
File Size : 48,6 Mb
Release : 2015-03-12
Category : Mathematics
ISBN : 9783642618963

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Combinatorial Group Theory by Roger C. Lyndon,Paul E. Schupp Pdf

From the reviews: "This book [...] defines the boundaries of the subject now called combinatorial group theory. [...] it is a considerable achievement to have concentrated a survey of the subject into 339 pages. [...] a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." Mathematical Reviews

Author : R. C. Bose,B. Manvel
Publisher : Unknown
Page : 264 pages
File Size : 43,5 Mb
Release : 1984-03-19
Category : Mathematics
ISBN : MINN:31951000333687X

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Introduction to Combinatorial Theory by R. C. Bose,B. Manvel Pdf

A ``hands-on'' constructive and computational approach to combinatorial topics with real-life modern applications. Provides a simple treatment of the subject. Introduces topics such as counting, designs and graphs. The notation is standard and kept to a minimum. Chapters end with historical remarks and suggestions for further reading.

Author : D. Jungnickel,K. Vedder
Publisher : Unknown
Page : 340 pages
File Size : 43,7 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662190311

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Combinatorial Theory by D. Jungnickel,K. Vedder Pdf

Author : Henry H. Crapo,Gian-Carlo Rota
Publisher : MIT Press (MA)
Page : 350 pages
File Size : 47,8 Mb
Release : 1970
Category : Mathematics
ISBN : UOM:39015014350774

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On the Foundations of Combinatorial Theory: Combinatorial Geometries by Henry H. Crapo,Gian-Carlo Rota Pdf

A major aim of this book is to present the theory of combinatorial geometry in a form accessible to mathematicians working in disparate subjects.

Author : Jack Koolen,Jin Ho Kwak,Ming-Yao Xu
Publisher : CRC Press
Page : 188 pages
File Size : 42,6 Mb
Release : 2008-07-02
Category : Mathematics
ISBN : 9780203885765

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Applications of Group Theory to Combinatorics by Jack Koolen,Jin Ho Kwak,Ming-Yao Xu Pdf

Applications of Group Theory to Combinatorics contains 11 survey papers from international experts in combinatorics, group theory and combinatorial topology. The contributions cover topics from quite a diverse spectrum, such as design theory, Belyi functions, group theory, transitive graphs, regular maps, and Hurwitz problems, and present the state

Author : Bruce A. Reed,Claudia L. Linhares-Sales
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 55,6 Mb
Release : 2006-05-17
Category : Mathematics
ISBN : 9780387224442

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Recent Advances in Algorithms and Combinatorics by Bruce A. Reed,Claudia L. Linhares-Sales Pdf

Excellent authors, such as Lovasz, one of the five best combinatorialists in the world; Thematic linking that makes it a coherent collection; Will appeal to a variety of communities, such as mathematics, computer science and operations research

Author : Anonim
Publisher : Elsevier
Page : 390 pages
File Size : 46,6 Mb
Release : 2011-08-26
Category : Mathematics
ISBN : 0080867693

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Combinatorial Mathematics, Optimal Designs, and Their Applications by Anonim Pdf

Combinatorial Mathematics, Optimal Designs, and Their Applications

Author : Alexander Mikhalev,Vladimir Shpilrain,Jie-tai Yu
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 44,7 Mb
Release : 2004
Category : Mathematics
ISBN : 0387405623

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Combinatorial Methods by Alexander Mikhalev,Vladimir Shpilrain,Jie-tai Yu Pdf

The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century. This book is divided into three fairly independent parts. Part I provides a brief exposition of several classical techniques in combinatorial group theory, namely, methods of Nielsen, Whitehead, and Tietze. Part II contains the main focus of the book. Here the authors show how the aforementioned techniques of combinatorial group theory found their way into affine algebraic geometry, a fascinating area of mathematics that studies polynomials and polynomial mappings. Part III illustrates how ideas from combinatorial group theory contributed to the theory of free algebras. The focus here is on Schreier varieties of algebras (a variety of algebras is said to be Schreier if any subalgebra of a free algebra of this variety is free in the same variety of algebras).

Author : D. Bresson,P. Camion,J.F. Maurras,F. Sterboul,C. Berge
Publisher : Elsevier
Page : 669 pages
File Size : 44,8 Mb
Release : 2012-01-25
Category : Mathematics
ISBN : 0080871860

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Combinatorial Mathematics by D. Bresson,P. Camion,J.F. Maurras,F. Sterboul,C. Berge Pdf

The object of this book is to provide an account of the results and methods used in combinatorial theories: Graph Theory, Matching Theory, Hamiltonian Problems, Hypergraph Theory, Designs, Steiner Systems, Latin Squares, Coding Matroids, Complexity Theory. In publishing this volume, the editors do not intend to discuss all the classical open problems in combinatorics for which an algebraic approach turns out to be useful. The work is a selection which is intended for specialists, as well as for graduate students who may also be interested in survey papers. The work features a special section which contains a list of unsolved problems proposed by the participants.

Author : H. N. V. Temperley
Publisher : Cambridge University Press
Page : 201 pages
File Size : 46,8 Mb
Release : 1981-09-03
Category : Mathematics
ISBN : 9780521285148

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Combinatorics by H. N. V. Temperley Pdf

The articles collected here are the texts of the invited lectures given at the Eighth British Combinatorial Conference held at University College, Swansea. The contributions reflect the scope and breadth of application of combinatorics, and are up-to-date reviews by mathematicians engaged in current research. This volume will be of use to all those interested in combinatorial ideas, whether they be mathematicians, scientists or engineers concerned with the growing number of applications.

Author : Alexander Schrijver
Publisher : Springer Science & Business Media
Page : 2024 pages
File Size : 45,9 Mb
Release : 2003-02-12
Category : Business & Economics
ISBN : 3540443894

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Combinatorial Optimization by Alexander Schrijver Pdf

From the reviews: "About 30 years ago, when I was a student, the first book on combinatorial optimization came out referred to as "the Lawler" simply. I think that now, with this volume Springer has landed a coup: "The Schrijver". The box is offered for less than 90.- EURO, which to my opinion is one of the best deals after the introduction of this currency." OR-Spectrum