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Field name	Details
Dewey Class	511.1
Title	Investigations in Algebraic Theory of Combinatorial Objects ([EBook]) / edited by I. A. Faradžev, A. A. Ivanov, M. H. Klin, A. J. Woldar.
Added Personal Name	Faradžev, I. A.
	Ivanov, A. A.
	Klin, M. H.
	Woldar, A. J.
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : Springer Netherlands , 1994.
Physical Details	XII, 510 pages : online resource.
Series	Mathematics and its applications. Soviet series 0169-6378 ; ; 84
ISBN	9789401719728
Summary Note	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.:
Contents note	1.1 Cellular rings and groups of automorphisme of graphs -- 1.2 On p-local analysis of permutation groups -- 1.3 Amorphic cellular rings -- 1.4 The subschemes of the Hamming scheme -- 1.5 A description of subrings in % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOvamaabm % aabaGaam4uamaaBaaaleaacaWGWbWaaSbaaWqaaiaaigdaaeqaaaWc % beaakiabgEna0kaadofadaWgaaWcbaGaamiCamaaBaaameaacaaIYa % aabeaaaSqabaGccqGHxdaTcaGGUaGaaiOlaiaac6cacqGHxdaTcaWG % tbWaaSbaaSqaaiaadchadaWgaaadbaGaamyBaaqabaaaleqaaaGcca % GLOaGaayzkaaaaaa!49CD!]].
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-017-1972-8
Links to Related Works	Subject References: Algebra . Combinatorics . Discrete Mathematics . Group theory . Group Theory and Generalizations . Mathematics . Authors: editor . Faradžev, I. A. . Ivanov, A. A. . Klin, M. H. . Woldar, A. J. . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications. Soviet series . Classification: 511.1 .

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Investigations in Algebraic Theory of Combinatorial Objects

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