A contribution to the theory of voltage graphs
Discrete Mathematics
Half-Transitive Graphs of Prime-Cube Order
Journal of Algebraic Combinatorics: An International Journal
A 1/2-transitive graph of valency 4 with a nonsolvable group of automorphisms
Journal of Graph Theory
The MAGMA algebra system I: the user language
Journal of Symbolic Computation - Special issue on computational algebra and number theory: proceedings of the first MAGMA conference
Half-transitivity of some metacirculants
Discrete Mathematics
Group actions, coverings and lifts of automorphisms
Discrete Mathematics - Special issue on Graph theory
Recent developments in half-transitive graphs
Discrete Mathematics - Special issue on Graph theory
Maps and half-transitive graphs of valency 4
European Journal of Combinatorics
Half-transitive group actions on finite graphs of valency 4
Journal of Combinatorial Theory Series B
Constructing 4-valent 12 -transitive graphs with a nonsolvable automorphism group
Journal of Combinatorial Theory Series B
Tetravalent graphs admitting half-transitive group actions: alternating cycles
Journal of Combinatorial Theory Series B
Weekly flag-transitive configurations and half-arc-transitive graphs
European Journal of Combinatorics
Lifting graph automorphisms by voltage assignments
European Journal of Combinatorics
On half-transitive metacirculant graphs of prime-power order
Journal of Combinatorial Theory Series B
Constructing ½-arc-transitive graphs of valency 4 and vertex stabilizer Z2× Z2
Discrete Mathematics
A tetravalent half-arc-transitive graph with non-abelian vertex stabilizer
Journal of Combinatorial Theory Series B
s-Regular cyclic coverings of the three-dimensional hypercube Q3
European Journal of Combinatorics
Half-arc-transitive graphs and chiral hypermaps
European Journal of Combinatorics
On Cubic Graphs Admitting an Edge-Transitive Solvable Group
Journal of Algebraic Combinatorics: An International Journal
Elementary Abelian Covers of Graphs
Journal of Algebraic Combinatorics: An International Journal
On edge-transitive Cayley graphs of valency four
European Journal of Combinatorics
Classifying cubic symmetric graphs of order 8p or 8p2
European Journal of Combinatorics
Tetravalent edge-transitive Cayley graphs with odd number of vertices
Journal of Combinatorial Theory Series B
Invariant subspaces, duality, and covers of the Petersen graph
European Journal of Combinatorics
Tetravalent half-transitive graphs of order 4p
European Journal of Combinatorics
Half-transitive graphs of valency 4 with prescribed attachment numbers
Journal of Graph Theory
Journal of Graph Theory
s-Regular cubic graphs as coverings of the complete bipartite graph K3,3
Journal of Graph Theory
On quartic half-arc-transitive metacirculants
Journal of Algebraic Combinatorics: An International Journal
Hexavalent half-arc-transitive graphs of order 4p
European Journal of Combinatorics
Tetravalent half-arc-transitive graphs of order 2pq
Journal of Algebraic Combinatorics: An International Journal
Characterization of Edge-Transitive 4-Valent Bicirculants
Journal of Graph Theory
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A finite graph X is half-arc-transitive if its automorphism group is transitive on vertices and edges, but not on arcs. When X is tetravalent, the automorphism group induces an orientation on the edges and a cycle of X is called an alternating cycle if its consecutive edges in the cycle have opposite orientations. All alternating cycles of X have the same length and half of this length is called the radius of X. The graph X is said to be tightly attached if any two adjacent alternating cycles intersect in the same number of vertices equal to the radius of X. Maruši驴 (J. Comb. Theory B, 73, 41---76, 1998) classified odd radius tightly attached tetravalent half-arc-transitive graphs. In this paper, we classify the half-arc-transitive regular coverings of the complete bipartite graph K 4,4 whose covering transformation group is cyclic of prime-power order and whose fibre-preserving group contains a half-arc-transitive subgroup. As a result, two new infinite families of even radius tightly attached tetravalent half-arc-transitive graphs are constructed, introducing the first infinite families of tetravalent half-arc-transitive graphs of 2-power orders.