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Cayley graphs of the group ℤ4 and limits for minimal vertex-primitive graphs of HA-type
Authors:K V Kostousov
Institution:(1) Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Ekaterinburg, Russia
Abstract:We point out a countable set of pairwise nonisomorphic Cayley graphs of the group ℤ4 that are limit for finite minimal vertex-primitive graphs admitting a vertex-primitive automorphism group containing a regular Abelian normal subgroup. Supported by RFBR grant No. 06-01-00378. __________ Translated from Algebra i Logika, Vol. 47, No. 2, pp. 203–214, March–April, 2008.
Keywords:vertex-primitive graph  limit graph  Cayley graph of free Abelian group
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