6 papers
On the automorphism group of direct product of digraphs
Guang Rao, Yu Wang, Binzhou Xia
Determining the conditions under which the direct product of graphs and satisfies has been a problem of consi…
Vertex-primitive -arc-transitive Cayley digraphs
Jing Jian Li, Yong Tang Shi, Yu Wang +1
Determining an upper bound on for vertex-primitive -arc-transitive digraphs has been an open problem of considerable interest since a question asked by Praeger in 1990. Alth…
Locally dihedral block designs and primitive groups with dihedral point stabilizers
Jianfu Chen, Yanni Wu, Binzhou Xia
Let be a block design admitting a locally transitive automorphism group . We say that is -point-locally dihedral if the induced local action $G_x^…
Tiling the symmetric group by transpositions
Teng Fang, Binzhou Xia
For nonempty subsets and of a group , we say that is a tiling of if every element of can be uniquely expressed as for some and . In…
Elusive groups from non-split extensions
Jiyong Chen, Melissa Lee, Dorde Mitrovic +2
A finite transitive permutation group is elusive if it contains no derangements of prime order. These groups are closely related to a longstanding open problem in algebraic graph t…
Perfect codes in Cayley graphs of Hajós groups
Yusuf Hafidh, Binzhou Xia, Sanming Zhou
A perfect code in a graph is a subset of the vertex set of such that every vertex of outside has exactly one neighbour in . A perfect code in a directed g…