The order  supergraph of the power graph of a finite group

Asma HAMZEH; Ali Reza ASHRAFI

Makale detayları

The order supergraph of the power graph of a finite group

Yazarlar:

Asma HAMZEH | Ali Reza ASHRAFI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 4, pp.1978-1989

Belge Tipi:

Makale

Yayın Tarihi:

7/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745840

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

The power graph P(G)P(G)\mathcal{P}(G) is a graph with group elements  as a vertex set and two elements are adjacent if one is a power of  the other. The order supergraph S(G)S(G)\mathcal{S}(G) of the power  graph P(G)P(G)\mathcal{P}(G) is a graph with vertex set GGG  in which  two elements x,y∈Gx,y∈Gx, y \in G are joined  if o(x)|o(y)o(x)|o(y)o(x) | o(y) or o(y)|o(x)o(y)|o(x)o(y) |  o(x). The purpose of this paper is to study certain properties  of this new graph together with the relationship between  P(G)P(G)\mathcal{P}(G) and S(G)S(G)\mathcal{S}(G).

Makale detayları

The order supergraph of the power graph of a finite group

Yazarlar: Asma HAMZEH | Ali Reza ASHRAFI

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 4, pp.1978-1989

Belge Tipi: Makale

Yayın Tarihi: 7/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745840

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Asma HAMZEH | Ali Reza ASHRAFI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 4, pp.1978-1989

Belge Tipi:

Makale

Yayın Tarihi:

7/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745840

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098