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math.CO2026
The distinguishing number of complete bipartite and crown graphs
Lei Chen, Alice Devillers, Luke Morgan +1
The distinguishing number of a permutation group $G\leqslant\Sym(Ω)$ is the minimum number of colours needed to colour in such a way that the only colour preserving element of…
math.CO2025
Quasiprimitive and bi-quasiprimitive highly-arc-transitive digraphs and finite simple groups
Lei Chen, Cheryl Praeger
We extend the notion of an -normal quotient digraph of an -vertex-transitive digraph to that of an -subnormal quotient digraph. Using these concepts, together with biparti…