2 citations · 5 across the 13 of their papers we have counts for
7 papers · 1 filter
The existence of -Haar graphical representations
Jia-Li Du, Yan-Quan Feng, Binzhou Xia +1
Extending the well-studied concept of graphical regular representations to bipartite graphs, a Haar graphical representation (HGR) of a group is a bipartite graph whose automor…
On the existence and the enumeration of bipartite regular representations of Cayley graphs over abelian groups
Jia-Li Du, Yan-Quan Feng, Pablo Spiga
In this paper we are interested in the asymptotic enumeration of bipartite Cayley digraphs and Cayley graphs over abelian groups. Let be an abelian group and let be the aut…
A conjecture on bipartite graphical regular representations
Jia-Li Du, Yan-Quan Feng, Pablo Spiga
In this paper we are concerned with the classification of the finite groups admitting a bipartite DRR and a bipartite GRR. First, we find a natural obstruction in a finite group fo…
On Haar digraphical representations of groups
Jia-Li Du, Yan-Quan Feng, Pablo Spiga
In this paper we extend the notion of digraphical regular representations in the context of Haar digraphs. Given a group , a {\em Haar digraph} over is a bipartite digra…
A classification of the m-graphical regular representation of finite groups
Jia-Li Du, Yan-Quan Feng, Pablo Spiga
In this paper we extend the classical notion of digraphical and graphical regular representation of a group and we classify, by means of an explicit description, the finite groups…
Heptavalent symmetric graphs with solvable stabilizers admitting vertex-transitive non-abelian simple groups
Jia-Li Du, Yan-Quan Feng, Yu-Qin Liu
A graph is said to be symmetric if its automorphism group acts transitively on the arc set of . In this paper, we show that if is a finite connected heptava…