AbstractWe discuss a possible approach to the study of finite arc-transitive digraphs and prove an upper bound on the order of a vertex-stabiliser in locally cyclic arc-transitive digraphs of prime out-valence
AbstractA graph X, with a subgroup G of the automorphism group Aut(X) of X, is said to be (G,s)-tran...
AbstractThis paper deals with graphs the automorphism groups of which are transitive on vertices and...
AbstractIn this paper the following two problems are solved: Given any point-symmetric graph or digr...
AbstractA digraph is said to be highly arc transitive if its automorphism group acts transitively on...
Finite digrahs Г with a group G of automorphisms acting transitively on the set of s-arcs, for some ...
Let $\Gamma$ be a $G$-vertex-transitive graph and let $(u,v)$ be an arc of $\Gamma$. It is known tha...
AbstractWe present a new family of locally 5-arc transitive graphs. The graphs constructed are bipar...
The topic of this paper is digraphs of in-valence and out-valence 2 that admit a 2-arc-transitive gr...
It has long been known that there exist finite connected tetravalent arc-transitive graphs with arbi...
Let ▫$X$▫ be a finite vertex-transitive graph of valency ▫$d$▫, and let ▫$A$▫ be the full automorphi...
AbstractThe descendant set desc(α) of a vertex α in a directed graph (digraph) is the subdigraph on ...
AbstractIn this paper we discuss a method for bounding the size of the stabiliser of a vertex in a G...
AbstractIt was conjectured (see [D. Marušič, On vertex symmetric digraphs, Discrete Math. 36 (1981) ...
summary:A graph $X$, with a group $G$ of automorphisms of $X$, is said to be $(G,s)$-transitive, for...
AbstractAn infinite familiy of 12-arc-transitive graphs of valency 4 with alternating cycles of leng...
AbstractA graph X, with a subgroup G of the automorphism group Aut(X) of X, is said to be (G,s)-tran...
AbstractThis paper deals with graphs the automorphism groups of which are transitive on vertices and...
AbstractIn this paper the following two problems are solved: Given any point-symmetric graph or digr...
AbstractA digraph is said to be highly arc transitive if its automorphism group acts transitively on...
Finite digrahs Г with a group G of automorphisms acting transitively on the set of s-arcs, for some ...
Let $\Gamma$ be a $G$-vertex-transitive graph and let $(u,v)$ be an arc of $\Gamma$. It is known tha...
AbstractWe present a new family of locally 5-arc transitive graphs. The graphs constructed are bipar...
The topic of this paper is digraphs of in-valence and out-valence 2 that admit a 2-arc-transitive gr...
It has long been known that there exist finite connected tetravalent arc-transitive graphs with arbi...
Let ▫$X$▫ be a finite vertex-transitive graph of valency ▫$d$▫, and let ▫$A$▫ be the full automorphi...
AbstractThe descendant set desc(α) of a vertex α in a directed graph (digraph) is the subdigraph on ...
AbstractIn this paper we discuss a method for bounding the size of the stabiliser of a vertex in a G...
AbstractIt was conjectured (see [D. Marušič, On vertex symmetric digraphs, Discrete Math. 36 (1981) ...
summary:A graph $X$, with a group $G$ of automorphisms of $X$, is said to be $(G,s)$-transitive, for...
AbstractAn infinite familiy of 12-arc-transitive graphs of valency 4 with alternating cycles of leng...
AbstractA graph X, with a subgroup G of the automorphism group Aut(X) of X, is said to be (G,s)-tran...
AbstractThis paper deals with graphs the automorphism groups of which are transitive on vertices and...
AbstractIn this paper the following two problems are solved: Given any point-symmetric graph or digr...
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