Hamiltonian cycle in the power graph of direct product two p-groups pf prime exponents
Publish place: Caspian Journal of Mathematical Sciences، Vol: 11، Issue: 1
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CJMS-11-1_015
تاریخ نمایه سازی: 15 اسفند 1401
Abstract:
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).
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Authors
Alireza Doostabadi
Faculty of Sciences, University of Zabol, Zabol, Iran
Maysam Yaghoobian
University of Gonabad, Gonabad, Iran.