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Journals / Turkish Journal of Mathematics and Computer Science / 2021 / Cilt: 13 - Sayı: 1

On Join Operation of Graphs by Obtained Monogenic Semigroups

Yaşar Nacaroğlu
Pages
57–62
Publication Date
2022-11-02
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, we will give some graph parameters for the join of monogenic semigroup graphs.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:For each commutative ring $R$ we associate a simple graph $Gamma(R)$.
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Key Findings & Data:This relationship presents a link between algebra and graph theory.
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Conclusion & Impact:In this paper, we will give some graph parameters for the join of monogenic semigroup graphs.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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.

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Cite This Article

Nacaroğlu, Y. (2022). On Join Operation of Graphs by Obtained Monogenic Semigroups. Turkish Journal of Mathematics and Computer Science, Cilt: 13 - Sayı: 1, 57–62. https://ajindex.com/articles/609062

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References (14)

  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. 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. Anderson, D.F., Livingston, P.S., The zero-divisor graph of commutative ring, Journal of Algebra, 217(1999), 434–447
  4. Anderson, D.F., Badawi, A., On the zero-divisor graph of a ring, Comm. Algebra, 36(2008), 3073–3092
  5. Anderson, D.D., Naseer, M., Beck’s coloring of a commutative ring, Journal of Algebra, 159(1991), 500–514
  6. Beck, I., Coloring of commutating ring, Journal of Algebra, 116(1988), 208–226
  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. DeMeyer, F.R., McKenzie, T., Schneider, K., The zero-divisor graph of a commutative semigroup, Semigroup Forum, 65(2002), 206–214
  9. DeMeyer, F.R., DeMeyer, L., Zero-divisor graphs of semigroups, Journal of Algebra, 283(2005), 190–198
  10. Gross, J.L., Yellen, J., Handbook of graph theory, Chapman Hall, CRC Press 2004
  11. Klavzar, S., Coloring graph products - a survey, Discrete Math., 155(1996), 135–145
  12. Mukwembi, S., A note on diameter and the degree sequence of a graph, Appl. Math. Lett., 25(2002), 175–178
  13. Nacaroglu, Y., On the corona product of monogenic semigroup graphs, Adv. and Appl. in Discrete Math., 19(2018), 409–420
  14. Nacaroglu, Y., Akgunes, N., On the sigma index of the corona products of monogenic semigroup graphs, JUM., 2 (1)(2019), 68–74.