Binzhou Xia

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5 papers · 1 filter

math.CO2026

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 $G$ and $H$ satisfies $Aut (G \times H) = Aut (G) \times Aut (H)$ has been a problem of consi…

math.CO2026

Vertex-primitive $s$ -arc-transitive Cayley digraphs

Jing Jian Li, Yong Tang Shi, Yu Wang +1

Determining an upper bound on $s$ for vertex-primitive $s$ -arc-transitive digraphs has been an open problem of considerable interest since a question asked by Praeger in 1990. Alth…

math.CO2026

Locally dihedral block designs and primitive groups with dihedral point stabilizers

Jianfu Chen, Yanni Wu, Binzhou Xia

Let $D$ be a block design admitting a locally transitive automorphism group $G$ . We say that $D$ is $G$ -point-locally dihedral if the induced local action $G_x^…

math.CO2026

Tiling the symmetric group by transpositions

Teng Fang, Binzhou Xia

For nonempty subsets $X$ and $Y$ of a group $G$ , we say that $(X, Y)$ is a tiling of $G$ if every element of $G$ can be uniquely expressed as $x y$ for some $x \in X$ and $y \in Y$ . In…

math.CO2025

Perfect codes in Cayley graphs of HajÃ³s groups

Yusuf Hafidh, Binzhou Xia, Sanming Zhou

A perfect code in a graph $I^$ is a subset $C$ of the vertex set of $I^$ such that every vertex of $I^$ outside $C$ has exactly one neighbour in $C$ . A perfect code in a directed g…

On the automorphism group of direct product of digraphs

Vertex-primitive s-arc-transitive Cayley digraphs

Locally dihedral block designs and primitive groups with dihedral point stabilizers

Tiling the symmetric group by transpositions

Perfect codes in Cayley graphs of HajÃ³s groups

Vertex-primitive $s$ -arc-transitive Cayley digraphs