EN
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] 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] J. A. Bondy, U. S. R. Murty, Graph theory, Springer, New York, 2008.
- [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] S. Chen, Cacti with the smallest, second smallest, and third smallest Gutman index, J. Combin. Optim. 31(1) (2016) 327–332.
- [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] 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] P. Dankelmann, I. Gutman, S. Mukwembi, H. C. Swart, The edge–Wiener index of a graph, Discrete Math. 309 (2009) 3452–457.
- [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
Yayımlanma Tarihi
7 Mayıs 2020
Gönderilme Tarihi
10 Ağustos 2017
Kabul Tarihi
15 Ağustos 2019
Yayımlandığı Sayı
Yıl 2020 Cilt: 7 Sayı: 2
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
Cited By
General degree distance of graphs
Journal of Algebra Combinatorics Discrete Structures and Applications
https://doi.org/10.13069/jacodesmath.935980