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math.CO2022
Symmetric property and edge-disjoint Hamiltonian cycles of the spined cube
Da-Wei Yang, Zihao Xu, Yan-Quan Feng +1
The spined cube is a variant of the hypercube , introduced by Zhou et al. in [Information Processing Letters 111 (2011) 561-567] as an interconnection network for paral…
math.GR2022
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…
math.CO2022
Digraph analogues for the Nine Dragon Tree Conjecture
Hui Gao, Daqing Yang
The fractional arboricity of a digraph , denoted by , is defined as . Frank in [Covering branching, Acta S…