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Investigations in Algebraic Theory of Combinatorial Objects (Paperback, 1st ed. Softcover of orig. ed. 1992)
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Investigations in Algebraic Theory of Combinatorial Objects (Paperback, 1st ed. Softcover of orig. ed. 1992)
Series: Mathematics and its Applications, 84
Expected to ship within 10 - 15 working days
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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."
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