Some graph parameters on the strong product of monogenic semigroup graphs
Öz
In Das et al. (2013), it
has been defined a new algebraic graph on monogenic semigroups. Our main scope
in this study, is to extend this study over the special algebraic graphs to the
strong product. In detail, we will determinate some important graph parameters
(diameter, girth, radius, maximum degree, minimum degree, chromatic number,
clique number and domination number) for the strong product of any two monogenic
semigroup graphs.
Anahtar Kelimeler
Kaynakça
- Das, K.C., Akgunes, N. and Cevik, A.S. On a graph of monogenic semigroup, Journal of Inequalities and Application, 2013, 44, 1-13, (2013).
- Beck, I., Coloring of commutating ring, Journal of Algebra, 116, 208-226, (1988).
- Anderson, D.F. and Livingston, P.S., The zero-divisor graph of commutative ring, Journal of Algebra, 217, 434-447, (1999).
- Anderson, D.F. and Badawi, A., On the zero-divisor graph of a ring, Communications in Algebra, 36, 8, 3073-3092, (2008).
- Anderson, D.D. and Naseer, M., Beck’s coloring of a commutative ring, Journal of Algebra, 159, 500-514, (1991).
- DeMeyer, F.R. and DeMeyer, L., Zero-divisor graphs of semigroups, Journal of Algebra, 283, 190-198, (2005).
- DeMeyer, F.R., McKenzie, T. and Schneider, K., The zero-divisor graph of a commutative semigroup, Semigroup Forum, 65, 206-214, (2002).
- Doŝlić, T., Ghorbani, M. and Hosseinzadeh, M.A., The relationships between wiener index, stability number and clique number of composite graphs, Bulletin of Malaysian Mathematical Sciences Society, 36, 1, 165–172, (2013).
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yazarlar
Yayımlanma Tarihi
25 Nisan 2018
Gönderilme Tarihi
2 Şubat 2018
Kabul Tarihi
2 Nisan 2018
Yayımlandığı Sayı
Yıl 2018 Cilt: 20 Sayı: 1
Cited By
ON THE SIGMA INDEX OF THE CORONA PRODUCTS OF MONOGENIC SEMIGROUP GRAPHS
Journal of Universal Mathematics
https://doi.org/10.33773/jum.484881Some new properties on N semigroups
Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
https://doi.org/10.25092/baunfbed.1299271