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math.GR2024
On biprimitive semisymmetric graphs
Yunsong Gan, Weijun Liu, Binzhou Xia
A regular bipartite graph is called semisymmetric if its full automorphism group acts transitively on the edge set but not on the vertex set. For a subgroup $…
math.CO2024
Asymptotic enumeration of Haar graphical representations
Yunsong Gan, Pablo Spiga, Binzhou Xia
This paper represents a significant leap forward in the problem of enumerating vertex-transitive graphs. Recent breakthroughs on symmetry of Cayley (di)graphs show that almost all…