%0 Journal Article %1 santiagoarguello2023hamiltonicity %A Santiago Arguello, Anahy %A Montellano-Ballesteros, Juan José %A Stadler, Peter F. %D 2023 %J Journal of Algebraic Combinatorics %K imported %N 1 %P 313--328 %R 10.1007/s10801-022-01172-9 %T Hamiltonicity in power graphs of a class of abelian groups %U https://doi.org/10.1007/s10801-022-01172-9 %V 57 %X The undirected power graph \$\$\textbackslashmathscr \G\(S)\$\$of a semigroup S is an undirected graph with vertex set S where two vertices \$\$u,v\textbackslashin S\$\$are adjacent if and only if there is a positive integer m such that \$\$uˆ\m\=v\$\$or \$\$vˆ\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{santiagoarguello2023hamiltonicity, abstract = {The undirected power graph \$\${\textbackslash}mathscr \{G\}(S)\$\$of a semigroup S is an undirected graph with vertex set S where two vertices \$\$u,v{\textbackslash}in S\$\$are adjacent if and only if there is a positive integer m such that \$\$u{\textasciicircum}\{m\}=v\$\$or \$\$v{\textasciicircum}\{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 = {2024-10-02T13:52:45.000+0200}, author = {Santiago Arguello, Anahy and Montellano-Ballesteros, Juan José and Stadler, Peter F.}, biburl = {https://puma.scadsai.uni-leipzig.de/bibtex/2cc3ba8bb86047baf58756b60809d755a/scadsfct}, doi = {10.1007/s10801-022-01172-9}, interhash = {9f70e109d5343d7a1b7ad0686d3ab6b9}, intrahash = {cc3ba8bb86047baf58756b60809d755a}, issn = {1572-9192}, journal = {Journal of Algebraic Combinatorics}, keywords = {imported}, month = feb, number = 1, pages = {313--328}, timestamp = {2024-10-02T13:52:45.000+0200}, title = {Hamiltonicity in power graphs of a class of abelian groups}, url = {https://doi.org/10.1007/s10801-022-01172-9}, volume = 57, year = 2023 }