The Basis Digraphs of <Emphasis Type="Italic">p</Emphasis>-schemes |
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| Authors: | A Rahnamai Barghi Ilia Ponomarenko |
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| Institution: | (1) Department of Mathematics, Faculty of Science, K.N. Toosi University of Technology, P.O. Box: 16315-1618, Tehran, Iran;(2) Petersburg Department of V.A. Steklov, Institute of Mathematics, Fontanka 27, St. Petersburg, 191023, Russia |
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| Abstract: | It is proved that association schemes with bipartite basis graphs are exactly 2-schemes. This result follows from a characterization
of p-schemes for an arbitrary prime p in terms of basis digraphs.
Second author work was partially supported by RFFI Grants 07-01-00485, 08-01-00379 and 08-01-00640. First author was visiting
the Euler Institute of Mathematics, St. Petersburg, Russia during the time a part of this paper was written and he thanks
the Euler Institute for its hospitality |
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| Keywords: | Association scheme p-partite digraph |
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