Investigations In Algebraic Theory Of Combinatorial Objects

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Investigations In Algebraic Theory Of Combinatorial Objects

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Author : I.A. Faradzev
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Investigations In Algebraic Theory Of Combinatorial Objects written by I.A. Faradzev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.

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.

Issledovanija Po Algebrai Eskoj Teorii Kombinatornych Ob Ektov

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Author : Michail Ch Klin
language : en
Publisher:
Release Date : 1985

Issledovanija Po Algebrai Eskoj Teorii Kombinatornych Ob Ektov written by Michail Ch Klin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.

Issledovanija Po Algebrai Eskoj Teorii Kombinatornych Ob Ektov

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Author :
language : en
Publisher:
Release Date : 1985

Issledovanija Po Algebrai Eskoj Teorii Kombinatornych Ob Ektov written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.

Algebraic Combinatorics

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Author : Eiichi Bannai
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-02-22

Algebraic Combinatorics written by Eiichi Bannai and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-22 with Mathematics categories.

Algebraic combinatorics is the study of combinatorial objects as an extension of the study of finite permutation groups, or, in other words, group theory without groups. In the spirit of Delsarte's theory, this book studies combinatorial objects such as graphs, codes, designs, etc. in the general framework of association schemes, providing a comprehensive overview of the theory as well as pointing out to extensions.

Algebraic Combinatorics I

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Author : Eiichi Bannai
language : en
Publisher: Addison-Wesley Longman
Release Date : 1984-01-21

Algebraic Combinatorics I written by Eiichi Bannai and has been published by Addison-Wesley Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-01-21 with Mathematics categories.

Investigations In Algebra

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Author : Albert Cuoco
language : en
Publisher: Mit Press
Release Date : 1990

Investigations In Algebra written by Albert Cuoco and has been published by Mit Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Computers categories.

Investigations in Algebra departs from a preoccupation with calculus as the ultimate goal of and the universal introduction to advanced mathematics by using Logo to explore combinatorics, number theory, the study of discrete functions, and other topics that are not on the traditional path to calculus.This approach encourages students to participate actively in exciting mathematics, developing in them a facility for abstraction and an appreciation for the power of mathematical methods. Most of the projects in the first two parts of the book have been worked through by students at Woburn High School, often without assistance from a teacher.In three parts, Investigations in Algebra emphasizes the treatment of functions as concrete objects modeled as Logo procedures, applies the techniques of induction and recursion to combinatorial problems, and takes up topics in number theory (including unique factorization congruence, and multiplicative functions). Integral to the presentation are numerous carefully constructed problems routine exercises, long term projects, and open ended experiments - developed in twenty years of classroom use.Albert Cuoco teaches mathematics at Woburn High School, in Woburn, Massachusetts. Investigations in Algebra is included in the series Exploring with Logo, edited by E. Paul Goldenberg.

Topics On Combinatorial Semigroups

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Author : Yuqi Guo
language : en
Publisher: Springer
Release Date : 2024-04-10

Topics On Combinatorial Semigroups written by Yuqi Guo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-10 with Mathematics categories.

By combinatorial semigroups, we mean a general term of concepts, facts and methods which are produced in investigating of algebraic and combinatorial properties, constructions, classifications and interrelations of formal languages and automata, codes, finite and infinite words by using semigroup theory and combinatorial analysis. The main research objects in this field are the elements and subsets of the free semigroups and monoids and many combinatorial properties of these objects, which are closely related to algebraic theory of semigroups. This book first introduces some basic concepts and notations in combinatorial semigroups. Since many contents involving the constructions of (generalized) disjunctive languages and regular languages are closely related to the algebraic theory of codes, some selected topics are introduced in the following chapter, including the method of defining codes by using dependence systems, the maximality and completeness of codes, and the detailed discussion of some special kinds of codes such as convex codes, semaphore codes and solid codes. Then the remaining chapters present the main topics of the book - regular languages, disjunctive languages, and their various kinds of generalizations. This book might be useful to researchers in mathematics who are interested in combinatorial semigroups.

Algorithmic Algebraic Combinatorics And Gr Bner Bases

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Author : Mikhail Klin
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-24

Algorithmic Algebraic Combinatorics And Gr Bner Bases written by Mikhail Klin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-24 with Mathematics categories.

This collection of tutorial and research papers introduces readers to diverse areas of modern pure and applied algebraic combinatorics and finite geometries. There is special emphasis on algorithmic aspects and the use of the theory of Gröbner bases.

Combinatorial Design Theory

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Author : C.J. Colbourn
language : en
Publisher: Elsevier
Release Date : 2011-09-22

Combinatorial Design Theory written by C.J. Colbourn and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Mathematics categories.

Combinatorial design theory is a vibrant area of combinatorics, connecting graph theory, number theory, geometry, and algebra with applications in experimental design, coding theory, and numerous applications in computer science. This volume is a collection of forty-one state-of-the-art research articles spanning all of combinatorial design theory. The articles develop new methods for the construction and analysis of designs and related combinatorial configurations; both new theoretical methods, and new computational tools and results, are presented. In particular, they extend the current state of knowledge on Steiner systems, Latin squares, one-factorizations, block designs, graph designs, packings and coverings, and develop recursive and direct constructions. The contributions form an overview of the current diversity of themes in design theory for those peripherally interested, while researchers in the field will find it to be a major collection of research advances. The volume is dedicated to Alex Rosa, who has played a major role in fostering and developing combinatorial design theory.

Algebraic Combinatorics And The Monster Group

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Author : Alexander A. Ivanov
language : en
Publisher: Cambridge University Press
Release Date : 2023-08-17

Algebraic Combinatorics And The Monster Group written by Alexander A. Ivanov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-17 with Mathematics categories.

The current state of knowledge on the Monster group, including Majorana theory, Vertex Operator Algebras, Moonshine and maximal subgroups.