Research Article

Some graph parameters on the strong product of monogenic semigroup graphs

Volume: 20 Number: 1 April 25, 2018
TR EN

Some graph parameters on the strong product of monogenic semigroup graphs

Abstract

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.

Keywords

References

  1. 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).
  2. Beck, I., Coloring of commutating ring, Journal of Algebra, 116, 208-226, (1988).
  3. Anderson, D.F. and Livingston, P.S., The zero-divisor graph of commutative ring, Journal of Algebra, 217, 434-447, (1999).
  4. Anderson, D.F. and Badawi, A., On the zero-divisor graph of a ring, Communications in Algebra, 36, 8, 3073-3092, (2008).
  5. Anderson, D.D. and Naseer, M., Beck’s coloring of a commutative ring, Journal of Algebra, 159, 500-514, (1991).
  6. DeMeyer, F.R. and DeMeyer, L., Zero-divisor graphs of semigroups, Journal of Algebra, 283, 190-198, (2005).
  7. DeMeyer, F.R., McKenzie, T. and Schneider, K., The zero-divisor graph of a commutative semigroup, Semigroup Forum, 65, 206-214, (2002).
  8. 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).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

April 25, 2018

Submission Date

February 2, 2018

Acceptance Date

April 2, 2018

Published in Issue

Year 2018 Volume: 20 Number: 1

APA
Akgüneş, N. (2018). Some graph parameters on the strong product of monogenic semigroup graphs. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 20(1), 412-420. https://doi.org/10.25092/baunfbed.418449
AMA
1.Akgüneş N. Some graph parameters on the strong product of monogenic semigroup graphs. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2018;20(1):412-420. doi:10.25092/baunfbed.418449
Chicago
Akgüneş, Nihat. 2018. “Some Graph Parameters on the Strong Product of Monogenic Semigroup Graphs”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 (1): 412-20. https://doi.org/10.25092/baunfbed.418449.
EndNote
Akgüneş N (July 1, 2018) Some graph parameters on the strong product of monogenic semigroup graphs. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 1 412–420.
IEEE
[1]N. Akgüneş, “Some graph parameters on the strong product of monogenic semigroup graphs”, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 20, no. 1, pp. 412–420, July 2018, doi: 10.25092/baunfbed.418449.
ISNAD
Akgüneş, Nihat. “Some Graph Parameters on the Strong Product of Monogenic Semigroup Graphs”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20/1 (July 1, 2018): 412-420. https://doi.org/10.25092/baunfbed.418449.
JAMA
1.Akgüneş N. Some graph parameters on the strong product of monogenic semigroup graphs. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2018;20:412–420.
MLA
Akgüneş, Nihat. “Some Graph Parameters on the Strong Product of Monogenic Semigroup Graphs”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 20, no. 1, July 2018, pp. 412-20, doi:10.25092/baunfbed.418449.
Vancouver
1.Nihat Akgüneş. Some graph parameters on the strong product of monogenic semigroup graphs. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2018 Jul. 1;20(1):412-20. doi:10.25092/baunfbed.418449

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