The power graph P(G) of a finite group G is a graph whose vertex set is the group G and distinct elements x; y are adjacent if one is a power of the other. Suppose that G = P * Q, where P (resp. Q) is a finite p-group (resp. q-group) of exponent p (resp. q) for distinct prime numbers p < q. In this paper, we determine necessary and sufficient conditions for existence of Hamiltonian cycles in P(G).
Doostabadi, A., & Yaghoobian, M. (2022). Hamiltonian cycle in the power graph of direct product two p-groups pf prime exponents. Caspian Journal of Mathematical Sciences, 11(1), 181-190. doi: 10.22080/cjms.2021.20160.1561
MLA
Alireza Doostabadi; Maysam Yaghoobian. "Hamiltonian cycle in the power graph of direct product two p-groups pf prime exponents", Caspian Journal of Mathematical Sciences, 11, 1, 2022, 181-190. doi: 10.22080/cjms.2021.20160.1561
HARVARD
Doostabadi, A., Yaghoobian, M. (2022). 'Hamiltonian cycle in the power graph of direct product two p-groups pf prime exponents', Caspian Journal of Mathematical Sciences, 11(1), pp. 181-190. doi: 10.22080/cjms.2021.20160.1561
VANCOUVER
Doostabadi, A., Yaghoobian, M. Hamiltonian cycle in the power graph of direct product two p-groups pf prime exponents. Caspian Journal of Mathematical Sciences, 2022; 11(1): 181-190. doi: 10.22080/cjms.2021.20160.1561
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