1 citations · 2 across the 3 of their papers we have counts for
13 papers
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…
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…
Tetravalent half-arc-transitive graphs with unbounded nonabelian vertex stabilizers
Binzhou Xia
Half-arc-transitive graphs are a fascinating topic which connects graph theory, Riemann surfaces and group theory. Although fruitful results have been obtained over the last half a…
Characterization of subgroup perfect codes in Cayley graphs
Jiyong Chen, Yanpeng Wang, Binzhou Xia
A subset of the vertex set of a graph is called a perfect code in if every vertex of is at distance no more than to exactly one vertex of . A subset of a…