Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2021, Cilt: 13 Sayı: 1, 57 - 62, 30.06.2021
https://doi.org/10.47000/tjmcs.756323

Öz

Kaynakça

  • [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.

On Join Operation of Graphs by Obtained Monogenic Semigroups

Yıl 2021, Cilt: 13 Sayı: 1, 57 - 62, 30.06.2021
https://doi.org/10.47000/tjmcs.756323

Öz

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.

Kaynakça

  • [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.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Yaşar Nacaroğlu 0000-0001-7179-0490

Yayımlanma Tarihi 30 Haziran 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 13 Sayı: 1

Kaynak Göster

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 Nacaroğlu Y. On Join Operation of Graphs by Obtained Monogenic Semigroups. TJMCS. Haziran 2021;13(1):57-62. doi:10.47000/tjmcs.756323
Chicago Nacaroğlu, Yaşar. “On Join Operation of Graphs by Obtained Monogenic Semigroups”. Turkish Journal of Mathematics and Computer Science 13, sy. 1 (Haziran 2021): 57-62. https://doi.org/10.47000/tjmcs.756323.
EndNote Nacaroğlu Y (01 Haziran 2021) On Join Operation of Graphs by Obtained Monogenic Semigroups. Turkish Journal of Mathematics and Computer Science 13 1 57–62.
IEEE Y. Nacaroğlu, “On Join Operation of Graphs by Obtained Monogenic Semigroups”, TJMCS, c. 13, sy. 1, ss. 57–62, 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 (Haziran 2021), 57-62. https://doi.org/10.47000/tjmcs.756323.
JAMA 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, c. 13, sy. 1, 2021, ss. 57-62, doi:10.47000/tjmcs.756323.
Vancouver Nacaroğlu Y. On Join Operation of Graphs by Obtained Monogenic Semigroups. TJMCS. 2021;13(1):57-62.