Investigations in Algebraic Theory of Combinatorial Objects

I. A. Faradzev

ISBN 10: 0792319273 / ISBN 13: 9780792319276

Published by Springer, Springer, 1993

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9780792319276

Bibliographic Details

• Title: Investigations in Algebraic Theory of Combinatorial Objects
• Publisher: Springer, Springer
• Publication Date: 1993
• Language: English
• ISBN 10: 0792319273
• ISBN 13: 9780792319276
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 33D millimeters 241 millimeters width by 160 millimeters height by 33 millimeters depth
• Weight: 948 grams

About this title

Synopsis

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.

Language Notes

Text: English
Original Language: Russian