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Du, Jia-Li; Kwon, Young Soo; Yin, Fu-Gang
Discrete mathematics, July 2024, 2024-07-00, Letnik: 347, Številka: 7Journal Article
In this paper we extend the notion of oriented regular representations in the context of m-partite oriented digraphs with an integer m≥2. A group G is said to admit an m-partite oriented semiregular representation (m-POSR for short) if there exists an m-partite oriented digraph such that its automorphism group is isomorphic to G and acts semiregularly on vertices with every part of the digraph as an orbit. In this paper, we proved that G admits an m-POSR of valency two except for several cases when G is a finite group generated by at most two elements and m≥2 is an integer.
