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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…