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portada investigations in algebraic theory of combinatorial objects
Type
Physical Book
Illustrated by
Publisher
Author
Year
1993
Language
English
Pages
510
Format
Hardcover
Dimensions
23.4x15.6x2.9 cm
Weight
0.91 kg.
ISBN
0792319273
ISBN13
9780792319276
Categories

investigations in algebraic theory of combinatorial objects

A. A. Ivanov (Illustrated by) · I. a. Faradzev (Illustrated by) · M. Klin (Illustrated by) · Springer · Hardcover

investigations in algebraic theory of combinatorial objects - Faradzev, I. a. ; Ivanov, A. a. ; Klin, M.

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Synopsis "investigations in algebraic theory of combinatorial objects"

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.

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