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- W4287778796 abstract "The $k$-coprime graph of order $n$ is the graph with vertex set ${k, k+1, ldots, k+n-1}$ in which two vertices are adjacent if and only if they are coprime. We characterize Hamiltonian $k$-coprime graphs. As a particular case, two conjectures by Tout, Dabboucy, Howalla (1982) and by Schroeder (2019) on prime labeling of $2$-regular graphs follow. A prime labeling of a graph with $n$ vertices is a labeling of its vertices with distinct integers from ${1, 2,ldots , n}$ in such a way that the labels of any two adjacent vertices are relatively prime." @default.
- W4287778796 created "2022-07-26" @default.
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- W4287778796 date "2020-05-13" @default.
- W4287778796 modified "2023-09-29" @default.
- W4287778796 title "Hamiltonicity of a coprime graph" @default.
- W4287778796 doi "https://doi.org/10.48550/arxiv.2005.06308" @default.
- W4287778796 hasPublicationYear "2020" @default.
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