2 citations · 6 across the 14 of their papers we have counts for
5 papers · 1 filter
Bounded-orbit lattice representations of finite groups
JiaLi Du, Andrea Lucchini, Joy Morris +1
For a finite group , let denote the minimum number of orbits on the elements of a finite lattice with . Babai and Goodman conjectured th…
On oriented -semiregular representations of finite groups about valency two
Jia-Li Du, Young Soo Kwon, Da-Wei Yang
Given a group , an {\em -Cayley digraph $\G$ over } is a digraph that has a group of automorphisms isomorphic to acting semiregularly on the vertex set with orbits…
On oriented -semiregular representations of finite groups
Jia-Li Du, Yan-Quan Feng, Sejeong Bang
A finite group admits an {\em oriented regular representation} if there exists a Cayley digraph of such that it has no digons and its automorphism group is isomorphic to $G…
Pentavalent symmetric graphs admitting vertex-transitive non-abelian simple groups
Jia-Li Du, Yan-Quan Feng, Jin-Xin Zhou
A graph Γis said to be {\em symmetric} if its automorphism group \Aut(Γ) is transitive on the arc set of Γ. Let be a finite non-abelian simple group and let Γbe a connected pen…
Tetravalent -arc-transitive Cayley graphs on non-abelian simple groups
Jia-Li Du, Yan-Quan Feng
A graph Gamma is said to be 2-arc-transitive if its full automorphism group Aut(Γ) has a single orbit on ordered paths of length 2, and for G\leq Aut(Γ), Γis G-regular if G is regu…