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ON THE SIGMA INDEX OF THE CORONA PRODUCTS OF MONOGENIC SEMIGROUP GRAPHS

Yıl 2019, Cilt: 2 Sayı: 1, 68 - 74, 30.01.2019
https://doi.org/10.33773/jum.484881

Öz


Kaynakça

  • D.F. Anderson and P.S. Livingston, The zero-divisor graph of commutative ring, Journal of Algebra, Vol. 217, pp. 434-447 (1999).
  • D.F. Anderson and A. Badawi, On the zero-divisor graph of a ring, Comm. Algebra, Vol.36(8), pp. 3073-3092 (2008).
  • D.D. Anderson and M. Naseer, Beck's coloring of a commutative ring, Journal of Algebra, Vol.159, pp. 500-514 (1991).
  • I. Beck, Coloring of commutating ring, Journal of Algebra, Vol. 116, pp. 208-226 (1988).
  • F.R. DeMeyer, T. McKenzie and K. Schneider, The zero-divisor graph of a commutative semigroup, Semigroup Forum, Vol. 65, pp. 206-214 (2002).
  • F.R. DeMeyer and L. DeMeyer, Zero-divisor graphs of semigroups, Journal of Algebra, Vol.283, pp. 190-198 (2005).
  • R. Frucht and F. Harary, On the corona of two graphs, Aequationes Math., Vol. 4, pp. 322-325(1970).
  • K.C. Das, N. Akgunes, A.S. Cevik, AS, On a graph of monogenic semigroup. J. Inequal. Appl.2013, 44 (2013).
  • N. Akgunes, Some graph parameters on the strong product of monogenic semigroup graphs,J. Baun Inst. Sci. Technol., XX(X), pp. 1-9 (2018).
  • Y.Nacaroglu, On the corona product of monogenic semigroup graphs, Adv. and Appl. in Discrete Math., in press (2018)
  • J.L. Gross and J. Yellen, Handbook of graph theory, Chapman Hall, CRC Press (2004).
  • W. Imrich and S. Klavzar, Product graphs. structure and recognition, Wiley-Interscience Series in Discrete Math.and Optim., Wiley- Interscience, New York, 2000).
  • S. Klavzar, Coloring graph products - a survey, Discrete Math., Vol. 155, pp. 135-145 (1996).
  • Y. Nacaroglu and A.D. Maden, The Upper Bounds for Multiplicative Sum Zagreb Index of Some Graph Operations, J. of Math. Ineq., Vol. 11(3), pp. 749-761 (2017).
  • Y. Nacaroglu and A.D. Maden, The Multiplicative Zagreb Coindices of Graph Operations, Util. Math., Vol. 102, pp. 19-38 (2017).
  • M. O. Albertson, The irregularity of a graph, Ars Combin., 46, pp. 219{225 (1997).
  • B. Furtula and I. Gutman. A forgotten topological index. J. Math. Chem., Vol. 53(4), pp. 1184-1190 (2015).
  • H. Abdo, D. Dimitrov, The total irregularity of graphs under graph operations, Miskolc Math. Notes 15, pp. 3{17 (2014).
  • I. Gutman, M. Togan, A. Yurttas, A.S. Cevik, I.N. Cangul, Inverse Problem for Sigma Index, MATCH Commun. Math. Comput. Chem., 79, pp. 491-508 (2018).
Yıl 2019, Cilt: 2 Sayı: 1, 68 - 74, 30.01.2019
https://doi.org/10.33773/jum.484881

Öz

Kaynakça

  • D.F. Anderson and P.S. Livingston, The zero-divisor graph of commutative ring, Journal of Algebra, Vol. 217, pp. 434-447 (1999).
  • D.F. Anderson and A. Badawi, On the zero-divisor graph of a ring, Comm. Algebra, Vol.36(8), pp. 3073-3092 (2008).
  • D.D. Anderson and M. Naseer, Beck's coloring of a commutative ring, Journal of Algebra, Vol.159, pp. 500-514 (1991).
  • I. Beck, Coloring of commutating ring, Journal of Algebra, Vol. 116, pp. 208-226 (1988).
  • F.R. DeMeyer, T. McKenzie and K. Schneider, The zero-divisor graph of a commutative semigroup, Semigroup Forum, Vol. 65, pp. 206-214 (2002).
  • F.R. DeMeyer and L. DeMeyer, Zero-divisor graphs of semigroups, Journal of Algebra, Vol.283, pp. 190-198 (2005).
  • R. Frucht and F. Harary, On the corona of two graphs, Aequationes Math., Vol. 4, pp. 322-325(1970).
  • K.C. Das, N. Akgunes, A.S. Cevik, AS, On a graph of monogenic semigroup. J. Inequal. Appl.2013, 44 (2013).
  • N. Akgunes, Some graph parameters on the strong product of monogenic semigroup graphs,J. Baun Inst. Sci. Technol., XX(X), pp. 1-9 (2018).
  • Y.Nacaroglu, On the corona product of monogenic semigroup graphs, Adv. and Appl. in Discrete Math., in press (2018)
  • J.L. Gross and J. Yellen, Handbook of graph theory, Chapman Hall, CRC Press (2004).
  • W. Imrich and S. Klavzar, Product graphs. structure and recognition, Wiley-Interscience Series in Discrete Math.and Optim., Wiley- Interscience, New York, 2000).
  • S. Klavzar, Coloring graph products - a survey, Discrete Math., Vol. 155, pp. 135-145 (1996).
  • Y. Nacaroglu and A.D. Maden, The Upper Bounds for Multiplicative Sum Zagreb Index of Some Graph Operations, J. of Math. Ineq., Vol. 11(3), pp. 749-761 (2017).
  • Y. Nacaroglu and A.D. Maden, The Multiplicative Zagreb Coindices of Graph Operations, Util. Math., Vol. 102, pp. 19-38 (2017).
  • M. O. Albertson, The irregularity of a graph, Ars Combin., 46, pp. 219{225 (1997).
  • B. Furtula and I. Gutman. A forgotten topological index. J. Math. Chem., Vol. 53(4), pp. 1184-1190 (2015).
  • H. Abdo, D. Dimitrov, The total irregularity of graphs under graph operations, Miskolc Math. Notes 15, pp. 3{17 (2014).
  • I. Gutman, M. Togan, A. Yurttas, A.S. Cevik, I.N. Cangul, Inverse Problem for Sigma Index, MATCH Commun. Math. Comput. Chem., 79, pp. 491-508 (2018).
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Nihat Akgüneş 0000-0001-7891-2905

Yaşar Nacaroğlu

Yayımlanma Tarihi 30 Ocak 2019
Gönderilme Tarihi 19 Kasım 2018
Kabul Tarihi 27 Ocak 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 2 Sayı: 1

Kaynak Göster

APA Akgüneş, N., & Nacaroğlu, Y. (2019). ON THE SIGMA INDEX OF THE CORONA PRODUCTS OF MONOGENIC SEMIGROUP GRAPHS. Journal of Universal Mathematics, 2(1), 68-74. https://doi.org/10.33773/jum.484881
AMA Akgüneş N, Nacaroğlu Y. ON THE SIGMA INDEX OF THE CORONA PRODUCTS OF MONOGENIC SEMIGROUP GRAPHS. JUM. Ocak 2019;2(1):68-74. doi:10.33773/jum.484881
Chicago Akgüneş, Nihat, ve Yaşar Nacaroğlu. “ON THE SIGMA INDEX OF THE CORONA PRODUCTS OF MONOGENIC SEMIGROUP GRAPHS”. Journal of Universal Mathematics 2, sy. 1 (Ocak 2019): 68-74. https://doi.org/10.33773/jum.484881.
EndNote Akgüneş N, Nacaroğlu Y (01 Ocak 2019) ON THE SIGMA INDEX OF THE CORONA PRODUCTS OF MONOGENIC SEMIGROUP GRAPHS. Journal of Universal Mathematics 2 1 68–74.
IEEE N. Akgüneş ve Y. Nacaroğlu, “ON THE SIGMA INDEX OF THE CORONA PRODUCTS OF MONOGENIC SEMIGROUP GRAPHS”, JUM, c. 2, sy. 1, ss. 68–74, 2019, doi: 10.33773/jum.484881.
ISNAD Akgüneş, Nihat - Nacaroğlu, Yaşar. “ON THE SIGMA INDEX OF THE CORONA PRODUCTS OF MONOGENIC SEMIGROUP GRAPHS”. Journal of Universal Mathematics 2/1 (Ocak 2019), 68-74. https://doi.org/10.33773/jum.484881.
JAMA Akgüneş N, Nacaroğlu Y. ON THE SIGMA INDEX OF THE CORONA PRODUCTS OF MONOGENIC SEMIGROUP GRAPHS. JUM. 2019;2:68–74.
MLA Akgüneş, Nihat ve Yaşar Nacaroğlu. “ON THE SIGMA INDEX OF THE CORONA PRODUCTS OF MONOGENIC SEMIGROUP GRAPHS”. Journal of Universal Mathematics, c. 2, sy. 1, 2019, ss. 68-74, doi:10.33773/jum.484881.
Vancouver Akgüneş N, Nacaroğlu Y. ON THE SIGMA INDEX OF THE CORONA PRODUCTS OF MONOGENIC SEMIGROUP GRAPHS. JUM. 2019;2(1):68-74.