Research Article

On Join Operation of Graphs by Obtained Monogenic Semigroups

Volume: 13 Number: 1 June 30, 2021
EN

On Join Operation of Graphs by Obtained Monogenic Semigroups

Abstract

For each commutative ring $R$ we associate a simple graph $\Gamma(R)$. This relationship presents a link between algebra and graph theory. Our main scope in this study is to extend this study over the special algebraic graphs to join graph operations. In this paper, we will give some graph parameters for the join of monogenic semigroup graphs.

Keywords

References

  1. [1] Akgunes, N., Das, K.C., Cevik, A.S., Cangul, I.N., Some properties on the lexicographic product of graphs obtained by monogenic semigroups, J. Inequal. Appl., 238(2013), 1–9.
  2. [2] Akgunes, N., Das, K. Ch., Cevik, A.S., Some properties on the tensor product of graphs obtained by monogenic semigroups, Appl. Math. Comput., 235(2014), 352–357.
  3. [3] Anderson, D.F., Livingston, P.S., The zero-divisor graph of commutative ring, Journal of Algebra, 217(1999), 434–447.
  4. [4] Anderson, D.F., Badawi, A., On the zero-divisor graph of a ring, Comm. Algebra, 36(2008), 3073–3092.
  5. [5] Anderson, D.D., Naseer, M., Beck’s coloring of a commutative ring, Journal of Algebra, 159(1991), 500–514.
  6. [6] Beck, I., Coloring of commutating ring, Journal of Algebra, 116(1988), 208–226.
  7. [7] Das, K.C., Akgunes, N., Cevik, A.S., On a graph of monogenic semigroup, Journal of Ineq.and Appl., 44(2013), 1–13.
  8. [8] DeMeyer, F.R., McKenzie, T., Schneider, K., The zero-divisor graph of a commutative semigroup, Semigroup Forum, 65(2002), 206–214.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2021

Submission Date

June 22, 2020

Acceptance Date

March 23, 2021

Published in Issue

Year 2021 Volume: 13 Number: 1

APA
Nacaroğlu, Y. (2021). On Join Operation of Graphs by Obtained Monogenic Semigroups. Turkish Journal of Mathematics and Computer Science, 13(1), 57-62. https://doi.org/10.47000/tjmcs.756323
AMA
1.Nacaroğlu Y. On Join Operation of Graphs by Obtained Monogenic Semigroups. TJMCS. 2021;13(1):57-62. doi:10.47000/tjmcs.756323
Chicago
Nacaroğlu, Yaşar. 2021. “On Join Operation of Graphs by Obtained Monogenic Semigroups”. Turkish Journal of Mathematics and Computer Science 13 (1): 57-62. https://doi.org/10.47000/tjmcs.756323.
EndNote
Nacaroğlu Y (June 1, 2021) On Join Operation of Graphs by Obtained Monogenic Semigroups. Turkish Journal of Mathematics and Computer Science 13 1 57–62.
IEEE
[1]Y. Nacaroğlu, “On Join Operation of Graphs by Obtained Monogenic Semigroups”, TJMCS, vol. 13, no. 1, pp. 57–62, June 2021, doi: 10.47000/tjmcs.756323.
ISNAD
Nacaroğlu, Yaşar. “On Join Operation of Graphs by Obtained Monogenic Semigroups”. Turkish Journal of Mathematics and Computer Science 13/1 (June 1, 2021): 57-62. https://doi.org/10.47000/tjmcs.756323.
JAMA
1.Nacaroğlu Y. On Join Operation of Graphs by Obtained Monogenic Semigroups. TJMCS. 2021;13:57–62.
MLA
Nacaroğlu, Yaşar. “On Join Operation of Graphs by Obtained Monogenic Semigroups”. Turkish Journal of Mathematics and Computer Science, vol. 13, no. 1, June 2021, pp. 57-62, doi:10.47000/tjmcs.756323.
Vancouver
1.Yaşar Nacaroğlu. On Join Operation of Graphs by Obtained Monogenic Semigroups. TJMCS. 2021 Jun. 1;13(1):57-62. doi:10.47000/tjmcs.756323

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