Zai Ping Lu

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math.CO2025

Enumerating Cayley digraphs on dihedral groups

Zai Ping Lu, Jia Yin Xie, Jin-Hua Xie

This paper investigates the enumeration of Cayley digraphs, focusing on counting Cayley digraphs on dihedral groups up to CI-isomorphism. By leveraging the Cauchy-Frobenius Lemma a…

math.CO2024

On Isomorphisms of Tetravalent Cayley Digraphs over Dihedral Groups

Jin-Hua Xie, Zai Ping Lu, Yan-Quan Feng

Let $m$ be a positive integer. A group $G$ is said to be an $m$ -DCI-group or an $m$ -CI-group if $G$ has the $k$ -DCI property or $k$ -CI property for all positive integers $k$ at mos…