|
|
|
|
hamiltonian cycle in the power graph of direct product two p-groups of prime exponents
|
|
|
|
|
|
|
|
نویسنده
|
doostabadi alireza ,yaghoobian maysam
|
|
منبع
|
caspian journal of mathematical sciences - 2022 - دوره : 11 - شماره : 1 - صفحه:181 -190
|
|
چکیده
|
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).
|
|
کلیدواژه
|
power grap ,direct product ,p-group ,hamiltonian cycle
|
|
آدرس
|
university of zabol, faculty of sciences, iran, university of gonabad, iran
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|