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Hamiltonicity in power graphs of a class of abelian groups - MaRDI portal

Hamiltonicity in power graphs of a class of abelian groups (Q2688258)

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Hamiltonicity in power graphs of a class of abelian groups
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    Hamiltonicity in power graphs of a class of abelian groups (English)
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    2 March 2023
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    The undirected power graph $G$ of a semigroup $S$ has a vertex set $S$, and $uv$ is an edge in $G$ if there is an integer $m>1$ such that \(u = v^m\) or \(v = u^m\). The authors present a characterization of the Hamiltonian power graphs of a class of abelian groups.
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    abelian group
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    Hamiltonian cycle
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    power graph
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