Asymptotic automorphism groups of Cayley digraphs and graphs of abelian groups of prime-power orderDobson, Edward Tauscher (Avtor) mathematicsgraph theoryCayley graphabelian groupautomorphism groupasymptotic▫$p$▫-groupWe show that almost every Cayley graph ▫$\Gamma$▫ of an abelian group ▫$G$▫ of odd prime-power order has automorphism group as small as possible. Additionally, we show that almost every Cayley (di)graph ▫$\Gamma$▫ of an abelian group ▫$G$▫ of odd prime-power order that does not have automorphism group as small as possible is a normal Cayley (di)graph of ▫$G$▫ (that is, ▫$G_L \triangleleft {\rm Aut}(\Gamma))$▫.20102013-10-15 12:07:44Delo ni kategorizirano2850ISSN: 1855-3966UDK: 519.17:512.54COBISS.SI-ID: 15870041sl