ON THE COMMUTING GRAPH ASSOCIATED WITH THE SYMMETRIC AND ALTERNATING GROUPS
2008 ◽
Vol 07
(01)
◽
pp. 129-146
◽
Keyword(s):
The commuting graph of a group G, denoted by Γ(G), is a simple undirected graph whose vertices are all non-central elements of G and two distinct vertices x, y are adjacent if xy = yx. The commuting graph of a subset of a group is defined similarly. In this paper we investigate the properties of the commuting graph of the symmetric and alternating and subsets of transpositions and involutions in the symmetric groups.
2013 ◽
Vol 5
(1)
◽
pp. 70-78
◽
Keyword(s):
Keyword(s):
Keyword(s):
2013 ◽
Vol 13
(01)
◽
pp. 1350064
◽
2020 ◽
Vol 16
(1)
◽
pp. 115-120
Keyword(s):
1971 ◽
Vol 12
(1)
◽
pp. 63-68
◽
Keyword(s):