Can one hear the shape of permutation group?

Автор(и)

  • V. Ustimenko Department of Algebra and Discrete Mathematics, Maria Curie Sklodowska-Uniwersity, Lublin, Poland

Ключові слова:

Spectra of Graphs and Groups, Lie geometries, coherent configurations, distance-regular graphs, small world graphs, geometrical expanders

Анотація

Missing definitions of the theory of permutation groups and algebraic graph theory such as coherent configuratuion, orbital of permutation group, distance regular and distance transitive graphs, extended bipartite double of graph reader can find in [1], [2] or [3].

Посилання

Higman, D.G., Coherent Configurations. Part I. Ordinary Representation Theory, GeometriaeDedicata, 4 (1975), 1–32.

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I. A. Faradzev, M. H. Klin, M. E. Muzichuk, Cellular Rings and Groups of Automorphisms of Graphs, Investigations in Algebraic Theory of Combinatorial Objects, Kluwer, Dordrecht (1992). pp.1-152.

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V. Ustimenko, On some properties of the geometries of Chevalley groups and their generalizations, Investigations in Algebraic Theory of Combinatorial Objects, Kluwer, Dordrecht (1992). p. 112-119. (Translation from Proceeding of VNIISI, Moscow, 1978 (in Russian).

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A. Brouwer, D. Pasechnik, Two distance-regular graphs, J. Algebraic Combin., 36 (2012).

V. Ustimenko, On small world Non-Sunada twins and cellular Voronoi diagrams, Algebra and Discrete Math (to appear).

M. Erwig, The graph Voronoi diagram with applications, Networks, vol. 36 (2000), no. 3, pp. 156-163.

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