%0 Journal Article %1 Santiago_Arguello2023-aw %A Santiago Arguello, Anahy %A Montellano-Ballesteros, Juan José %A Stadler, Peter F %D 2023 %I Springer Science and Business Media LLC %J J. Algebraic Combin. %K imported %N 1 %P 313--328 %T Hamiltonicity in power graphs of a class of abelian groups %V 57 %X AbstractThe undirected power graph $$\G\(S)$$ G ( S ) of a semigroup S is an undirected graph with vertex set S where two vertices $$u,vS$$ u , v $ın$ S are adjacent if and only if there is a positive integer m such that $$u^\m\=v$$ u m = v or $$v^\m\=u$$ v m = u . Here, we investigate the power graphs of a class of abelian groups and answer, in this case, the question whether or not the power graph is Hamiltonian.

@article{Santiago_Arguello2023-aw, abstract = {AbstractThe undirected power graph $$\textbackslashmathscr \{G\}(S)$$ G ( S ) of a semigroup S is an undirected graph with vertex set S where two vertices $$u,v\textbackslashin S$$ u , v $\in$ S are adjacent if and only if there is a positive integer m such that $$u^\{m\}=v$$ u m = v or $$v^\{m\}=u$$ v m = u . Here, we investigate the power graphs of a class of abelian groups and answer, in this case, the question whether or not the power graph is Hamiltonian.}, added-at = {2024-10-02T10:38:17.000+0200}, author = {Santiago Arguello, Anahy and Montellano-Ballesteros, Juan Jos{\'e} and Stadler, Peter F}, biburl = {https://puma.scadsai.uni-leipzig.de/bibtex/22a922e140121b09fdf3799471cf8f4cd/scadsfct}, copyright = {https://creativecommons.org/licenses/by/4.0}, interhash = {9f70e109d5343d7a1b7ad0686d3ab6b9}, intrahash = {2a922e140121b09fdf3799471cf8f4cd}, journal = {J. Algebraic Combin.}, keywords = {imported}, language = {en}, month = feb, number = 1, pages = {313--328}, publisher = {Springer Science and Business Media LLC}, timestamp = {2024-10-02T10:38:17.000+0200}, title = {Hamiltonicity in power graphs of a class of abelian groups}, volume = 57, year = 2023 }