Some Normal Edge-transitive Cayley Graphs On Dihedral Groups
نویسندگان
چکیده
منابع مشابه
Product 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...
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(jh=h ′j; jz(k)j) = 1 = gcd(jk=k ′j; jz(h)j), we consider four standard products of them and it is proved that only tensor product of factors can be normal edge-transitive.
متن کاملOn 2-arc-transitive Cayley Graphs of Dihedral Groups
Slovenija Abstract A partial extension of the results in 1], where 2-arc-transitive cir-culants are classiied, is given. It is proved that a 2-arc-transitive Cayley graph of a dihedral group is either a complete graph or a bi-partite graph.
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: Journal of Mathematics and Computer Science
سال: 2011
ISSN: 2008-949X
DOI: 10.22436/jmcs.02.03.07