Given a bipartite cubic graph with a certain degree of symmetry two covering constructions that provide infinitely many tetravalent graphs admitting half-arc-transitive groups of automorphisms are introduced. Symmetry properties of constructed graphs are investigated. In the second part of the paper the two constructions are applied to the Heawood graph, the well-known incidence graph of the Fano plane
AbstractA graph is half-arc-transitive if its automorphism group acts transitively on its vertex set...
A vertex-transitive graph X is said to be half-arc-transitive if its automorphism group acts transit...
AbstractRegular covers of complete graphs which are 2-arc-transitive are investigated. A classificat...
Given a bipartite cubic graph with a certain degree of symmetry two covering constructions that prov...
Given a bipartite cubic graph with a certain degree of symmetry two covering constructions that prov...
AbstractA graph is half-arc-transitive if its automorphism group acts transitively on vertices and e...
AbstractA graph Γ is symmetric if its automorphism group acts transitively on the arcs of Γ, and s-r...
A graph is half-arc-transitive if its automorphism group acts transitively on vertices and edges, bu...
AbstractA graph is half-arc-transitive if its automorphism group acts transitively on vertices and e...
W.T. Tutte showed that if G is an arc transitive connected cubic graph then the automorphism group o...
A finite graph X is half-arc-transitive if its automorphism group is transitive on vertices and edge...
Abstract—A graph is half-arc-transitive if its automorphism group acts transitively on its vertex se...
AbstractA graph is said to be half-transitive if its automorphism group acts transitively on the ver...
A graph $X$ is {\em symmetric} if its automorphism group acts transitively on the arcs of $X$, and {...
A family of 2-arc-transitive regular covers of a complete graph is investigated. In this paper, we c...
AbstractA graph is half-arc-transitive if its automorphism group acts transitively on its vertex set...
A vertex-transitive graph X is said to be half-arc-transitive if its automorphism group acts transit...
AbstractRegular covers of complete graphs which are 2-arc-transitive are investigated. A classificat...
Given a bipartite cubic graph with a certain degree of symmetry two covering constructions that prov...
Given a bipartite cubic graph with a certain degree of symmetry two covering constructions that prov...
AbstractA graph is half-arc-transitive if its automorphism group acts transitively on vertices and e...
AbstractA graph Γ is symmetric if its automorphism group acts transitively on the arcs of Γ, and s-r...
A graph is half-arc-transitive if its automorphism group acts transitively on vertices and edges, bu...
AbstractA graph is half-arc-transitive if its automorphism group acts transitively on vertices and e...
W.T. Tutte showed that if G is an arc transitive connected cubic graph then the automorphism group o...
A finite graph X is half-arc-transitive if its automorphism group is transitive on vertices and edge...
Abstract—A graph is half-arc-transitive if its automorphism group acts transitively on its vertex se...
AbstractA graph is said to be half-transitive if its automorphism group acts transitively on the ver...
A graph $X$ is {\em symmetric} if its automorphism group acts transitively on the arcs of $X$, and {...
A family of 2-arc-transitive regular covers of a complete graph is investigated. In this paper, we c...
AbstractA graph is half-arc-transitive if its automorphism group acts transitively on its vertex set...
A vertex-transitive graph X is said to be half-arc-transitive if its automorphism group acts transit...
AbstractRegular covers of complete graphs which are 2-arc-transitive are investigated. A classificat...