Araştırma Makalesi

Degree distance and Gutman index of two graph products

Cilt: 7 Sayı: 2 7 Mayıs 2020
  • Shaban Sedghı *
  • Nabi Shobe
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Degree distance and Gutman index of two graph products

Öz

The degree distance was introduced by Dobrynin, Kochetova and Gutman as a weighted version of the Wiener index. In this paper, we investigate the degree distance and Gutman index of complete, and strong product graphs by using the adjacency and distance matrices of a graph.

Anahtar Kelimeler

Kaynakça

  1. [1] A. Alwardi, B. Arsic, I. Gutman, N. D. Soner, The common neighborhood graph and its energy, Iran. J. Math. Sci. Inf. 7 (2012) 1–8.
  2. [2] J. A. Bondy, U. S. R. Murty, Graph theory, Springer, New York, 2008.
  3. [3] A. S. Bonifácio, R. R. Rosa, I. Gutman, N. M. M. de Abreu, Complete common neighborhood graphs, Proceedings of Congreso Latino-Iberoamericano de Investigaci on Operativa and Simposio Brasileiro de Pesquisa Operacional (2012) 4026–4032.
  4. [4] S. Chen, Cacti with the smallest, second smallest, and third smallest Gutman index, J. Combin. Optim. 31(1) (2016) 327–332.
  5. [5] S. Chen, Z. Guo, A lower bound on the degree distance in a tree, Int. J. Contemp. Math. Sci. 5(13) (2010) 649–652.
  6. [6] P. Dankelmann, I. Gutman, S. Mukwembi, H.C. Swart, On the degree distance of a graph, Discrete Appl. Math. 157(13) (2009) 2773–2777.
  7. [7] P. Dankelmann, I. Gutman, S. Mukwembi, H. C. Swart, The edge–Wiener index of a graph, Discrete Math. 309 (2009) 3452–457.
  8. [8] A. A. Dobrynin, R. Entringer, I. Gutman, Wiener index of trees: Theory and applications, Acta Appl. Math. 66 (2001) 211–249.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

Shaban Sedghı * Bu kişi benim
Iran

Nabi Shobe Bu kişi benim
Iran

Yayımlanma Tarihi

7 Mayıs 2020

Gönderilme Tarihi

10 Ağustos 2017

Kabul Tarihi

15 Ağustos 2019

Yayımlandığı Sayı

Yıl 2020 Cilt: 7 Sayı: 2

Kaynak Göster

APA
Sedghı, S., & Shobe, N. (2020). Degree distance and Gutman index of two graph products. Journal of Algebra Combinatorics Discrete Structures and Applications, 7(2), 121-140. https://doi.org/10.13069/jacodesmath.729422
AMA
1.Sedghı S, Shobe N. Degree distance and Gutman index of two graph products. Journal of Algebra Combinatorics Discrete Structures and Applications. 2020;7(2):121-140. doi:10.13069/jacodesmath.729422
Chicago
Sedghı, Shaban, ve Nabi Shobe. 2020. “Degree distance and Gutman index of two graph products”. Journal of Algebra Combinatorics Discrete Structures and Applications 7 (2): 121-40. https://doi.org/10.13069/jacodesmath.729422.
EndNote
Sedghı S, Shobe N (01 Mayıs 2020) Degree distance and Gutman index of two graph products. Journal of Algebra Combinatorics Discrete Structures and Applications 7 2 121–140.
IEEE
[1]S. Sedghı ve N. Shobe, “Degree distance and Gutman index of two graph products”, Journal of Algebra Combinatorics Discrete Structures and Applications, c. 7, sy 2, ss. 121–140, May. 2020, doi: 10.13069/jacodesmath.729422.
ISNAD
Sedghı, Shaban - Shobe, Nabi. “Degree distance and Gutman index of two graph products”. Journal of Algebra Combinatorics Discrete Structures and Applications 7/2 (01 Mayıs 2020): 121-140. https://doi.org/10.13069/jacodesmath.729422.
JAMA
1.Sedghı S, Shobe N. Degree distance and Gutman index of two graph products. Journal of Algebra Combinatorics Discrete Structures and Applications. 2020;7:121–140.
MLA
Sedghı, Shaban, ve Nabi Shobe. “Degree distance and Gutman index of two graph products”. Journal of Algebra Combinatorics Discrete Structures and Applications, c. 7, sy 2, Mayıs 2020, ss. 121-40, doi:10.13069/jacodesmath.729422.
Vancouver
1.Shaban Sedghı, Nabi Shobe. Degree distance and Gutman index of two graph products. Journal of Algebra Combinatorics Discrete Structures and Applications. 01 Mayıs 2020;7(2):121-40. doi:10.13069/jacodesmath.729422

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Journal of Algebra Combinatorics Discrete Structures and Applications

https://doi.org/10.13069/jacodesmath.935980