5 papers
On distance matrices of distance-regular graphs
Hui Zhou, Rongquan Feng
In this paper, we give a characterization of distance matrices of distance-regular graphs to be invertible.
Hamilton cycles in Cayley graphs on generalized dihedral groups
Hui Zhou, Binzhou Xia
We study existence of Hamilton cycles in connected Cayley graphs on generalized dihedral groups
On -distance-transitive graphs
Hui Zhou, Cheryl Praeger, Michael Giudici +2
Distance-regular graphs have many beautiful combinatorial properties. Distance-transitive graphs have very strong symmetries, and they are distance-regular, i.e. distance-transitiv…
Hamiltonian decomposition of the Cayley graph on the dihedral group where is a prime
Hui Zhou, Liufeng Xu, Yang Cui +4
In this note, we give the Hamiltonian decomposition of the Cayley graph on the dihedral group where is a prime.
A graph theoretic characterization of the classical generalized hexagon on vertices
Hui Zhou
A tetravalent -arc-transitive graph of order is either the known -arc-transitive incidence graph of the classical generalized hexagon or a normal cover of a $…