3 papers
math.CO2025
Regular sets in Cayley sum graphs on generalized dicyclic groups
Meiqi Peng, Yuefeng Yang
For a graph , a subset of is called an -regular set in , if every vertex of is adjacent to exactly vertices of and every vertex of $…
math.CO2025
Perfect codes in quartic Cayley graphs of generalized dihedral groups
Chengcheng Dong, Yuefeng Yang, Changchang Dong
For a graph , a subset of is a perfect code in if every vertex of is dominated by exactly one vertex in . In this paper, we classify all connected qu…
math.CO2024
(Total) Perfect codes in (extended) subgroup sum graphs
Xuanlong Ma, Yuefeng Yang, Liangliang Zhai
Given a finite group with identity and a normal subgroup of , the subgroup sum graph (resp. extended subgroup sum graph ) of with respect to…