4 citations · 9 across the 13 of their papers we have counts for
14 papers · 1 filter
Stability of graph pairs involving vertex-transitive graphs
Yan-Li Qin, Binzhou Xia, Sanming Zhou
A pair of graphs is said to be stable if the full automorphism group of is isomorphic to the product of the full automorphism groups of and and unstable…
2-Arc-transitive Cayley graphs on alternating groups
Jiangmin Pan, Binzhou Xia, Fugang Yin
An interesting fact is that most of the known connected -arc-transitive nonnormal Cayley graphs of small valency on finite simple groups are -arc-transitiv…
Oriented regular representations of out-valency two for finite simple groups
Gabriel Verret, Binzhou Xia
In this paper, we show that every finite simple group of order at least admits an oriented regular representation of out-valency .
Stability of pair graphs
Yan-Li Qin, Binzhou Xia, Jin-Xin Zhou +1
We start up the study of the stability of general graph pairs. This notion is a generalization of the concept of the stability of graphs. We say that a pair of graphs is st…
On flag-transitive 2-(v,k,2) designs
Alice Devillers, Hongxue Liang, Cheryl E. Praeger +1
This paper is devoted to the classification of flag-transitive 2-(v,k,2) designs. We show that apart from two known symmetric 2-(16,6,2) designs, every flag-transitive subgroup G o…
Constructing infinitely many half-arc-transitive covers of tetravalent graphs
Pablo Spiga, Binzhou Xia
We prove that, given a finite graph satisfying some mild conditions, there exist infinitely many tetravalent half-arc-transitive normal covers of . Applying this result, we…