BibTex RIS Kaynak Göster

MAXIMAL GRAPHS OF THE FIRST REVERSE ZAGREB BETA INDEX

Yıl 2018, Cilt: 8 Sayı: 1.1, 306 - 310, 01.09.2018

Öz

The reverse vertex degree of a vertex v of a simple connected graph G defined as; cv = ∆ − dv + 1 where ∆ denotes the largest of all degrees of vertices of G and dv denotes the number of edges incident to v. The first reverse Zagreb beta index of a simple connected graph G defined as; CMβ 1 G = P uv∈E G cu + cv . In this paper we characterized maximal graphs with respect to the first reverse Zagreb beta index

Kaynakça

  • Wiener, H.,(1947), Structural determination of parafin boiling points, J. Am. Chem. Soc., 69, pp. 17-20.
  • Gutman, I. and Trinajsti´c, N., (1971), Graph theory and molecular orbitals. Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett., 17, pp.535-538.
  • Gutman, I., Ruˇsˇci´c, B., Trinajsti´c,N., Wilcox,C.F.,(1975), Graph theory and molecular orbitals, XII. Acyclic polyenes,J. Chem. Phys., 62, pp. 3399-3405.
  • Das, K.C. and Gutman, I.,(2004), Some properties of the second Zagreb index , MATCH Commun. Math. Comput. Chem., 52, pp. 103-112.
  • Gutman, I. and Das, K.C., (2004), The first Zagreb index 30 years after, MATCH Commun. Math. Comput. Chem., 50, pp.83-92.
  • Nikoli´c, S., Kovaˇcevi´c, G., Miliˇcevi´c, A., Trinajsti´c, N., (2003), The Zagreb indices 30 years after, Croat. Chem. Acta, 76, pp.113-124.
  • Stevanovi´c, S., (2011), On the relation between the Zagreb indices, Croat. Chem. Acta, 84, pp.17-19.
  • Ediz, S., (2015), Maximum chemical trees of the second reverse Zagreb index,Pacific Journal of Applied Mathematics, 7,pp. 291-295.
  • Ediz, S. and Cancan, M., (2016), Reverse Zagreb indices of Cartesian product of graphs, International Journal of Mathematics and Computer Science, 11, pp. 51-58.
Yıl 2018, Cilt: 8 Sayı: 1.1, 306 - 310, 01.09.2018

Öz

Kaynakça

  • Wiener, H.,(1947), Structural determination of parafin boiling points, J. Am. Chem. Soc., 69, pp. 17-20.
  • Gutman, I. and Trinajsti´c, N., (1971), Graph theory and molecular orbitals. Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett., 17, pp.535-538.
  • Gutman, I., Ruˇsˇci´c, B., Trinajsti´c,N., Wilcox,C.F.,(1975), Graph theory and molecular orbitals, XII. Acyclic polyenes,J. Chem. Phys., 62, pp. 3399-3405.
  • Das, K.C. and Gutman, I.,(2004), Some properties of the second Zagreb index , MATCH Commun. Math. Comput. Chem., 52, pp. 103-112.
  • Gutman, I. and Das, K.C., (2004), The first Zagreb index 30 years after, MATCH Commun. Math. Comput. Chem., 50, pp.83-92.
  • Nikoli´c, S., Kovaˇcevi´c, G., Miliˇcevi´c, A., Trinajsti´c, N., (2003), The Zagreb indices 30 years after, Croat. Chem. Acta, 76, pp.113-124.
  • Stevanovi´c, S., (2011), On the relation between the Zagreb indices, Croat. Chem. Acta, 84, pp.17-19.
  • Ediz, S., (2015), Maximum chemical trees of the second reverse Zagreb index,Pacific Journal of Applied Mathematics, 7,pp. 291-295.
  • Ediz, S. and Cancan, M., (2016), Reverse Zagreb indices of Cartesian product of graphs, International Journal of Mathematics and Computer Science, 11, pp. 51-58.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

- S.ediz Bu kişi benim

Yayımlanma Tarihi 1 Eylül 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 8 Sayı: 1.1

Kaynak Göster