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Ma, Xuanlong; Walls, Gary L.; Wang, Kaishun
Open mathematics (Warsaw, Poland), 08/2019, Letnik: 17, Številka: 1Journal Article
For a finite noncyclic group , let Cyc( ) be the set of elements of such that 〈 , 〉 is cyclic for each of . The noncyclic graph of is a graph with the vertex set ∖ Cyc( ), having an edge between two distinct vertices and if 〈 , 〉 is not cyclic. In this paper, we classify all finite noncyclic groups whose noncyclic graphs are -free, where is a star and 3 ≤ ≤ 6.
