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Investigations in Algebraic Theory of Combinatorial Objects : Archives Internationales D'Histoire Des Idees - I.A. Faradzev

Investigations in Algebraic Theory of Combinatorial Objects

Archives Internationales D'Histoire Des Idees

By: I.A. Faradzev (Editor), Alexander Anatolievich Ivanov (Editor), M.H. Klin (Editor), A.J. Woldar (Editor)

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Published: 30th November 1993
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X Kochendorffer, 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.

Series Editor's Preface
Preface to the English Edition
Preface to the Russian Edition
Cellular Rings
Cellular Rings and Groups of Automorphisms of Graphs
On p-Local Analysis of Permutation Groups
Amorphic Cellular Rings
The Subschemes of the Hamming Scheme
A Description of Subrings in V(Sp1 x Sp2 x ... x Spm)
Cellular Subrings of the Symmetric Square of a Cellular Ring of Rank 3
The Intersection Numbers of the Hecke Algebras H(PGLn(q),BWjB)
Ranks and Subdegrees of the Symmetric Groups Acting on Partitions
Computation of Lengths of Orbits of a Subgroup in a Transitive Permutation Group
Distance-Transitive Graphs
Distance-Transitive Graphs and Their Classification
On Some Local Characteristics of Distance-Transitive Graphs
Action of the Group M12 on Hadamard Matrices
Construction of an Automorphic Graph on 280 Vertices Using Finite Geometries
Amalgams and Diagram Geometries
Applications of Group Amalgams to Algebraic Graph Theory
A Geometric Characterization of the Group M22
Bi-Primitive Cubic Graphs
On Some Properties of Geometries of Chevalley Groups and Their Generalizations
Subject Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792319276
ISBN-10: 0792319273
Series: Archives Internationales D'Histoire Des Idees
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 510
Published: 30th November 1993
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 2.87
Weight (kg): 0.91