A graph $\Ga$ is called $1$-regular if $\Aut(\Ga)$ acts regularly on its arcs. In this paper, we give a complete classification or characterization of $1$-regular Cayley graphs valency $7$. We prove that a $1$-regular Cayley graph of valency $7$ is either normal or bi-normal, or is a normal cover of a core-free one(up to isomorphic). As far as we known the result for the classification of 1-regular graphs is scarcely. 10.1017/S000497271300008
AbstractA graph is said to be one-regular if its automorphism group acts regularly on the arc set. F...
AbstractA graph is one-regular if its automorphism group acts regularly on the arc set. In this pape...
We call a Cayley digraph X = Cay(G, S) normal for G if the right regular representation R(G) of G is...
A graph $\Ga$ is called $1$-regular if $\Aut(\Ga)$ acts regularly on its arcs. In this paper, we giv...
A graph $\Ga$ is called $1$-regular if $\Aut(\Ga)$ acts regularly on its arcs. In this paper, we giv...
A graph $\Ga$ is called $1$-regular if $\Aut(\Ga)$ acts regularly on its arcs. In this paper, we giv...
A graph $\Ga$ is called $1$-regular if $\Aut(\Ga)$ acts regularly on its arcs. In this paper, we giv...
A graph is 1-arc-regular if its full automorphism group acts regularly on the set of its arcs. In th...
AbstractA graph is 1-arc-regular if its full automorphism group acts regularly on the set of its arc...
AbstractA graph is one-regular if its automorphism group acts regularly on the set of arcs of the gr...
A graph is said to be one-regular if its automorphism group acts regularly on the arc set. For any i...
Let G be a finite group, and let $1_G ∉ S ⊆ G$. A Cayley di-graph Γ = Cay(G,S) of G relative to S is...
AbstractBy definition, Cayley graphs are vertex-transitive, and graphs underlying regular or orienta...
Abstract : We call a Cayley graph Γ = Cay (G, S) normal for G, if the right regular representation R...
AbstractA graph is said to be one-regular if its automorphism group acts regularly on the set of its...
AbstractA graph is said to be one-regular if its automorphism group acts regularly on the arc set. F...
AbstractA graph is one-regular if its automorphism group acts regularly on the arc set. In this pape...
We call a Cayley digraph X = Cay(G, S) normal for G if the right regular representation R(G) of G is...
A graph $\Ga$ is called $1$-regular if $\Aut(\Ga)$ acts regularly on its arcs. In this paper, we giv...
A graph $\Ga$ is called $1$-regular if $\Aut(\Ga)$ acts regularly on its arcs. In this paper, we giv...
A graph $\Ga$ is called $1$-regular if $\Aut(\Ga)$ acts regularly on its arcs. In this paper, we giv...
A graph $\Ga$ is called $1$-regular if $\Aut(\Ga)$ acts regularly on its arcs. In this paper, we giv...
A graph is 1-arc-regular if its full automorphism group acts regularly on the set of its arcs. In th...
AbstractA graph is 1-arc-regular if its full automorphism group acts regularly on the set of its arc...
AbstractA graph is one-regular if its automorphism group acts regularly on the set of arcs of the gr...
A graph is said to be one-regular if its automorphism group acts regularly on the arc set. For any i...
Let G be a finite group, and let $1_G ∉ S ⊆ G$. A Cayley di-graph Γ = Cay(G,S) of G relative to S is...
AbstractBy definition, Cayley graphs are vertex-transitive, and graphs underlying regular or orienta...
Abstract : We call a Cayley graph Γ = Cay (G, S) normal for G, if the right regular representation R...
AbstractA graph is said to be one-regular if its automorphism group acts regularly on the set of its...
AbstractA graph is said to be one-regular if its automorphism group acts regularly on the arc set. F...
AbstractA graph is one-regular if its automorphism group acts regularly on the arc set. In this pape...
We call a Cayley digraph X = Cay(G, S) normal for G if the right regular representation R(G) of G is...
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