Investigations in Algebraic Theory of Combinatorial Objects -

Investigations in Algebraic Theory of Combinatorial Objects

Buch | Softcover
510 Seiten
2010
Springer (Verlag)
978-90-481-4195-1 (ISBN)
139,09 inkl. MwSt
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
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