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Author : Sharadchandra Shankar Shrikhande
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Uniqueness of the L2 Association Scheme written by Sharadchandra Shankar Shrikhande and published by . This book was released on 1958 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I.A. Faradzev
Publisher : Springer Science & Business Media
ISBN 13 : 9401719721
Total Pages : 513 pages
Book Rating : 4.4/5 (17 download)
Download or read book Investigations in Algebraic Theory of Combinatorial Objects written by I.A. Faradzev and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: X Köchendorffer, L.A. Kalu:lnin and their students in the 50s and 60s. Nowadays the most deeply developed is the theory of binary invariant relations and their combinatorial approximations. These combinatorial approximations arose repeatedly during this century under various names (Hecke algebras, centralizer rings, association schemes, coherent configurations, cellular rings, etc.-see the first paper of the collection for details) andin various branches of mathematics, both pure and applied. One of these approximations, the theory of cellular rings (cellular algebras), was developed at the end of the 60s by B. Yu. Weisfeiler and A.A. Leman in the course of the first serious attempt to study the complexity of the graph isomorphism problem, one of the central problems in the modern theory of combinatorial algorithms. At roughly the same time G.M. Adelson-Velskir, V.L. Arlazarov, I.A. Faradtev and their colleagues had developed a rather efficient tool for the constructive enumeration of combinatorial objects based on the branch and bound method. By means of this tool a number of "sports-like" results were obtained. Some of these results are still unsurpassed.
Author : Ronald L. Graham
Publisher : Elsevier
ISBN 13 : 9780444823465
Total Pages : 1124 pages
Book Rating : 4.8/5 (234 download)
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.
Author : Bozzano G Luisa
Publisher : Elsevier
ISBN 13 : 0080933351
Total Pages : 1121 pages
Book Rating : 4.0/5 (89 download)
Download or read book Handbook of Combinatorics Volume 1 written by Bozzano G Luisa and published by Elsevier. This book was released on 1995-12-11 with total page 1121 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.
Author : Ulrich Knauer
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110617366
Total Pages : 350 pages
Book Rating : 4.1/5 (16 download)
Download or read book Algebraic Graph Theory written by Ulrich Knauer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-10-08 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph models are extremely useful for a large number of applications as they play an important role as structuring tools. They allow to model net structures – like roads, computers, telephones, social networks – instances of abstract data structures – like lists, stacks, trees – and functional or object oriented programming. The focus of this highly self-contained book is on homomorphisms and endomorphisms, matrices and eigenvalues.
Author : R.L. Graham
Publisher : Elsevier
ISBN 13 : 008093384X
Total Pages : 2404 pages
Book Rating : 4.0/5 (89 download)
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
Author :
Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.3/5 (91 download)
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1959 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Willard H. Clatworthy
Publisher :
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.3/5 (91 download)
Download or read book Tables of Two-associate-class Partially Balanced Designs written by Willard H. Clatworthy and published by . This book was released on 1973 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. A. Bailey
Publisher : Cambridge University Press
ISBN 13 : 9781139449939
Total Pages : 410 pages
Book Rating : 4.4/5 (499 download)
Download or read book Association Schemes written by R. A. Bailey and published by Cambridge University Press. This book was released on 2004-02-26 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Association schemes are of interest to both mathematicians and statisticians and this book was written with both audiences in mind. For statisticians, it shows how to construct designs for experiments in blocks, how to compare such designs, and how to analyse data from them. The reader is only assumed to know very basic abstract algebra. For pure mathematicians, it tells why association schemes are important and develops the theory to the level of advanced research. This book arose from a course successfully taught by the author and as such the material is thoroughly class-tested. There are a great number of examples and exercises that will increase the book's appeal to both graduate students and their instructors. It is ideal for those coming either from pure mathematics or statistics backgrounds who wish to develop their understanding of association schemes.
Author : Andries E. Brouwer
Publisher : Cambridge University Press
ISBN 13 : 1009076841
Total Pages : 482 pages
Book Rating : 4.0/5 (9 download)
Download or read book Strongly Regular Graphs written by Andries E. Brouwer and published by Cambridge University Press. This book was released on 2022-01-13 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strongly regular graphs lie at the intersection of statistical design, group theory, finite geometry, information and coding theory, and extremal combinatorics. This monograph collects all the major known results together for the first time in book form, creating an invaluable text that researchers in algebraic combinatorics and related areas will refer to for years to come. The book covers the theory of strongly regular graphs, polar graphs, rank 3 graphs associated to buildings and Fischer groups, cyclotomic graphs, two-weight codes and graphs related to combinatorial configurations such as Latin squares, quasi-symmetric designs and spherical designs. It gives the complete classification of rank 3 graphs, including some new constructions. More than 100 graphs are treated individually. Some unified and streamlined proofs are featured, along with original material including a new approach to the (affine) half spin graphs of rank 5 hyperbolic polar spaces.
Author : Thomas W. Cusick
Publisher : Academic Press
ISBN 13 : 0128111305
Total Pages : 290 pages
Book Rating : 4.1/5 (281 download)
Download or read book Cryptographic Boolean Functions and Applications written by Thomas W. Cusick and published by Academic Press. This book was released on 2017-03-31 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptographic Boolean Functions and Applications, Second Edition is designed to be a comprehensive reference for the use of Boolean functions in modern cryptography. While the vast majority of research on cryptographic Boolean functions has been achieved since the 1970s, when cryptography began to be widely used in everyday transactions, in particular banking, relevant material is scattered over hundreds of journal articles, conference proceedings, books, reports and notes, some of them only available online. This book follows the previous edition in sifting through this compendium and gathering the most significant information in one concise reference book. The work therefore encompasses over 600 citations, covering every aspect of the applications of cryptographic Boolean functions. Since 2008, the subject has seen a very large number of new results, and in response, the authors have prepared a new chapter on special functions. The new edition brings 100 completely new references and an expansion of 50 new pages, along with heavy revision throughout the text. - Presents a foundational approach, beginning with the basics of the necessary theory, then progressing to more complex content - Includes major concepts that are presented with complete proofs, with an emphasis on how they can be applied - Includes an extensive list of references, including 100 new to this edition that were chosen to highlight relevant topics - Contains a section on special functions and all-new numerical examples
Author : J. J. Seidel
Publisher : Academic Press
ISBN 13 : 1483268004
Total Pages : 431 pages
Book Rating : 4.4/5 (832 download)
Download or read book Geometry and Combinatorics written by J. J. Seidel and published by Academic Press. This book was released on 2014-05-10 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry and Combinatorics: Selected Works of J. J. Seidel brings together some of the works of J. J. Seidel in geometry and combinatorics. Seidel's selected papers are divided into four areas: graphs and designs; lines with few angles; matrices and forms; and non-Euclidean geometry. A list of all of Seidel's publications is included. Comprised of 29 chapters, this book begins with a discussion on equilateral point sets in elliptic geometry, followed by an analysis of strongly regular graphs of L2-type and of triangular type. The reader is then introduced to strongly regular graphs with (-1, 1, 0) adjacency matrix having eigenvalue 3; graphs related to exceptional root systems; and equiangular lines. Subsequent chapters deal with the regular two-graph on 276 vertices; the congruence order of the elliptic plane; equi-isoclinic subspaces of Euclidean spaces; and Wielandt's visibility theorem. This monograph will be of interest to students and practitioners in the field of mathematics.
Author : R. W. Robinson
Publisher : Springer
ISBN 13 : 354038376X
Total Pages : 270 pages
Book Rating : 4.5/5 (43 download)
Download or read book Combinatorial Mathematics VII written by R. W. Robinson and published by Springer. This book was released on 2006-11-15 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K.S. Lakshmi
Publisher : Allied Publishers
ISBN 13 : 8184248350
Total Pages : 238 pages
Book Rating : 4.1/5 (842 download)
Download or read book Algebra and Analysis Gateway to Modern Technology (AAGMT-2013) written by K.S. Lakshmi and published by Allied Publishers. This book was released on 2013-03-05 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: To commemorate the completion of 125 years of the great Mathematician Sri Srinivasa Ramanujan, which was also celebrated as National Mathematics Year, the Department organised a two-day National Seminar titled 'Algebra and Analysis—Gateway to Modern Technology' on 29th and 30th of January 2013. The seminar focused on the vital role of Algebra and Analysis in technological development and industry.
Author : Charles J. Colbourn
Publisher : CRC Press
ISBN 13 : 1420010549
Total Pages : 1011 pages
Book Rating : 4.4/5 (2 download)
Download or read book Handbook of Combinatorial Designs written by Charles J. Colbourn and published by CRC Press. This book was released on 2006-11-02 with total page 1011 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence
Author : Norman Biggs
Publisher : Cambridge University Press
ISBN 13 : 9780521458979
Total Pages : 220 pages
Book Rating : 4.4/5 (589 download)
Download or read book Algebraic Graph Theory written by Norman Biggs and published by Cambridge University Press. This book was released on 1993 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a substantial revision of a much-quoted monograph, first published in 1974. The structure is unchanged, but the text has been clarified and the notation brought into line with current practice. A large number of 'Additional Results' are included at the end of each chapter, thereby covering most of the major advances in the last twenty years. Professor Biggs' basic aim remains to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first part, he tackles the applications of linear algebra and matrix theory to the study of graphs; algebraic constructions such as adjacency matrix and the incidence matrix and their applications are discussed in depth. There follows an extensive account of the theory of chromatic polynomials, a subject which has strong links with the 'interaction models' studied in theoretical physics, and the theory of knots. The last part deals with symmetry and regularity properties. Here there are important connections with other branches of algebraic combinatorics and group theory. This new and enlarged edition this will be essential reading for a wide range of mathematicians, computer scientists and theoretical physicists.
Author : D. A. Holton
Publisher : Cambridge University Press
ISBN 13 : 0521435943
Total Pages : 367 pages
Book Rating : 4.5/5 (214 download)
Download or read book The Petersen Graph written by D. A. Holton and published by Cambridge University Press. This book was released on 1993-04-22 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors examine various areas of graph theory, using the prominent role of the Petersen graph as a unifying feature.
