A Survey Of Combinatorial Theory PDF Download
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Author | : Jagdish N. Srivastava |
Publisher | : Elsevier |
Total Pages | : 476 |
Release | : 2014-05-12 |
Genre | : Biography & Autobiography |
ISBN | : 1483278174 |
Download A Survey of Combinatorial Theory Book in PDF, ePub and Kindle
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 | : Roger C. Lyndon |
Publisher | : Springer |
Total Pages | : 354 |
Release | : 2015-03-12 |
Genre | : Mathematics |
ISBN | : 3642618960 |
Download Combinatorial Group Theory Book in PDF, ePub and Kindle
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 | : Marshall Hall |
Publisher | : John Wiley & Sons |
Total Pages | : 462 |
Release | : 2011-08-15 |
Genre | : Mathematics |
ISBN | : 1118031113 |
Download Combinatorial Theory Book in PDF, ePub and Kindle
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 | : |
Publisher | : |
Total Pages | : 2392 |
Release | : 1905 |
Genre | : Combinatorial analysis |
ISBN | : |
Download Journal of Combinatorial Theory Book in PDF, ePub and Kindle
Author | : Bruce A. Reed |
Publisher | : Springer Science & Business Media |
Total Pages | : 357 |
Release | : 2006-05-17 |
Genre | : Mathematics |
ISBN | : 0387224440 |
Download Recent Advances in Algorithms and Combinatorics Book in PDF, ePub and Kindle
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 | : Gilbert Baumslag |
Publisher | : Birkhäuser |
Total Pages | : 174 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034885873 |
Download Topics in Combinatorial Group Theory Book in PDF, ePub and Kindle
Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. With surprising frequency, problems in a wide variety of disciplines, including differential equations, automorphic functions and geometry, have been distilled into explicit questions about groups, typically of the following kind: Are the groups in a given class finite (e.g., the Burnside problem)? Finitely generated? Finitely presented? What are the conjugates of a given element in a given group? What are the subgroups of that group? Is there an algorithm for deciding for every pair of groups in a given class whether they are isomorphic or not? The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions. In view of the scope of the subject and the extraordinary variety of groups involved, it is not surprising that no really general theory exists. These notes, bridging the very beginning of the theory to new results and developments, are devoted to a number of topics in combinatorial group theory and serve as an introduction to the subject on the graduate level.
Author | : J. D. Lamb |
Publisher | : Cambridge University Press |
Total Pages | : 312 |
Release | : 1999-07 |
Genre | : Mathematics |
ISBN | : 9780521653763 |
Download Surveys in Combinatorics, 1999 Book in PDF, ePub and Kindle
This volume, first published in 1999, is a valuable resource on combinatorics for graduate students and researchers.
Author | : R. C. Bose |
Publisher | : |
Total Pages | : 270 |
Release | : 1984-03-19 |
Genre | : Mathematics |
ISBN | : |
Download Introduction to Combinatorial Theory Book in PDF, ePub and Kindle
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 | : Martin Aigner |
Publisher | : Springer Science & Business Media |
Total Pages | : 489 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461566665 |
Download Combinatorial Theory Book in PDF, ePub and Kindle
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 | : B. Bollobás |
Publisher | : Cambridge University Press |
Total Pages | : 273 |
Release | : 1979-08-09 |
Genre | : Mathematics |
ISBN | : 0521228468 |
Download Surveys in Combinatorics Book in PDF, ePub and Kindle
Combinatorics is an active field of mathematical study and the British Combinatorial Conference, held biennially, aims to survey the most important developments by inviting distinguished mathematicians to lecture at the meeting. The contributions of the principal lecturers at the Seventh Conference, held in Cambridge, are published here and the topics reflect the breadth of the subject. Each author has written a broadly conceived survey, not limited to his own work, but intended for wide readership. Important aspects of the subject are emphasized so that non-specialists will find them understandable. Topics covered include graph theory, matroids, combinatorial set theory, projective geometry and combinatorial group theory. All those researching into any aspect of Combinatorics and its applications will find much in these articles of use and interest.