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ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS

Yıl 2016, , 91 - 109, 01.06.2016
https://doi.org/10.24330/ieja.266195

Öz

The commuting graph of a non-abelian group is a simple graph in
which the vertices are the non-central elements of the group, and two distinct
vertices are adjacent if and only if they commute. In this paper, we determine
(up to isomorphism) all finite non-abelian groups whose commuting graphs are
acyclic, planar or toroidal. We also derive explicit formulas for the genus of
the commuting graphs of some well-known class of finite non-abelian groups,
and show that, every collection of isomorphism classes of finite non-abelian
groups whose commuting graphs have the same genus is finite.

Yıl 2016, , 91 - 109, 01.06.2016
https://doi.org/10.24330/ieja.266195

Öz

Toplam 0 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA57HS68AS
Bölüm Makaleler
Yazarlar

Ashish Kumar Das Bu kişi benim

Deiborlang Nongsiang Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2016
Yayımlandığı Sayı Yıl 2016

Kaynak Göster

APA Das, A. K., & Nongsiang, D. (2016). ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS. International Electronic Journal of Algebra, 19(19), 91-109. https://doi.org/10.24330/ieja.266195
AMA Das AK, Nongsiang D. ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS. IEJA. Haziran 2016;19(19):91-109. doi:10.24330/ieja.266195
Chicago Das, Ashish Kumar, ve Deiborlang Nongsiang. “ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS”. International Electronic Journal of Algebra 19, sy. 19 (Haziran 2016): 91-109. https://doi.org/10.24330/ieja.266195.
EndNote Das AK, Nongsiang D (01 Haziran 2016) ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS. International Electronic Journal of Algebra 19 19 91–109.
IEEE A. K. Das ve D. Nongsiang, “ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS”, IEJA, c. 19, sy. 19, ss. 91–109, 2016, doi: 10.24330/ieja.266195.
ISNAD Das, Ashish Kumar - Nongsiang, Deiborlang. “ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS”. International Electronic Journal of Algebra 19/19 (Haziran 2016), 91-109. https://doi.org/10.24330/ieja.266195.
JAMA Das AK, Nongsiang D. ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS. IEJA. 2016;19:91–109.
MLA Das, Ashish Kumar ve Deiborlang Nongsiang. “ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS”. International Electronic Journal of Algebra, c. 19, sy. 19, 2016, ss. 91-109, doi:10.24330/ieja.266195.
Vancouver Das AK, Nongsiang D. ON THE GENUS OF THE COMMUTING GRAPHS OF FINITE NON-ABELIAN GROUPS. IEJA. 2016;19(19):91-109.

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