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A070995 Number of nonisomorphic (undirected) Cayley graphs for the group Zp x Zp, where Zp is the elementary Abelian group of order p and p is prime. The sequence is index by primes, though starts with 1. 0

%I #9 Jun 08 2016 10:05:14

%S 1,5,50,17794,174685429024800,1476099903835055889100,

%T 569361345959217303084880851701375547158,

%U 24894339520238610434672964029323166045198384692144

%N Number of nonisomorphic (undirected) Cayley graphs for the group Zp x Zp, where Zp is the elementary Abelian group of order p and p is prime. The sequence is index by primes, though starts with 1.

%C The formula comes from a cycle index; There is a similar formula for directed Cayley graphs

%D C. Godsil, On Cayley graph isomorphisms, Ars, Combin., 15:231-246, 1983

%H B. Alspach and M. Mishna, <a href="http://dx.doi.org/10.1016/S0012-365X(02)00319-9">Enumeration of Cayley graphs and digraphs</a>, Discr. Math., 256 (2002), 527-539.

%H M. Mishna, <a href="http://people.math.sfu.ca/~mmishna/PUB/sfu-thesis.pdf">Cayley Graphs </a>

%Y Cf. A049287.

%K nonn

%O 1,2

%A _Marni Mishna_, May 18 2002

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Last modified April 19 08:45 EDT 2024. Contains 371782 sequences. (Running on oeis4.)