Investigations in Algebraic Theory of Combinatorial Objects

I.A. Faradzev, A.A. Ivanov, M. Klin, A.J. Woldar (Herausgeber)

Buch | Softcover

510 Seiten

2010
Springer (Verlag)
978-90-481-4195-1 (ISBN)

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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.

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!+-
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Erscheint lt. Verlag	8.12.2010
Reihe/Serie	Mathematics and its Applications ; 84
Zusatzinfo	XII, 510 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	210 x 279 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	90-481-4195-8 / 9048141958
ISBN-13	978-90-481-4195-1 / 9789048141951
Zustand	Neuware