Normal edge-transitive and \frac{1}{2}-arc-transitive cayley graphs on non-abelian groups of odd order 3pq, p and q are primes
نویسندگان
چکیده
منابع مشابه
normal edge-transitive and $frac{1}{2}-$arc$-$transitive cayley graphs on non-abelian groups of order $2pq$, $p > q$ are odd primes
darafsheh and assari in [normal edge-transitive cayley graphs on non-abelian groups of order 4p, where $p$ is a prime number, sci. china math., 56 (1) (2013) 213-219.] classified the connected normal edge transitive and $frac{1}{2}-$arc-transitive cayley graph of groups of order $4p$. in this paper we continue this work by classifying the connected cayley graph of groups of order...
متن کاملnormal edge-transitive and $ frac{1}{2}$-arc-transitive cayley graphs on non-abelian groups of order $2pq$ , $p > q$ are primes
darafsheh and assari in [normal edge-transitive cayley graphs onnon-abelian groups of order 4p, where p is a prime number, sci. china math. {bf 56} (1) (2013) 213$-$219.] classified the connected normal edge transitive and $frac{1}{2}-$arc-transitive cayley graph of groups of order$4p$. in this paper we continue this work by classifying theconnected cayley graph of groups of order $2pq$, $p > q...
متن کاملNormal edge-transitive Cayley graphs on the non-abelian groups of order $4p^2$, where $p$ is a prime number
In this paper, we determine all of connected normal edge-transitive Cayley graphs on non-abelian groups with order $4p^2$, where $p$ is a prime number.
متن کاملProduct of normal edge-transitive Cayley graphs
For two normal edge-transitive Cayley graphs on groups H and K which have no common direct factor and $gcd(|H/H^prime|,|Z(K)|)=1=gcd(|K/K^prime|,|Z(H)|)$, we consider four standard products of them and it is proved that only tensor product of factors can be normal edge-transitive.
متن کاملOn the eigenvalues of normal edge-transitive Cayley graphs
A graph $Gamma$ is said to be vertex-transitive or edge- transitive if the automorphism group of $Gamma$ acts transitively on $V(Gamma)$ or $E(Gamma)$, respectively. Let $Gamma=Cay(G,S)$ be a Cayley graph on $G$ relative to $S$. Then, $Gamma$ is said to be normal edge-transitive, if $N_{Aut(Gamma)}(G)$ acts transitively on edges. In this paper, the eigenvalues of normal edge-tra...
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ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2018
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.49.2018.2169