EN
Degree distance and Gutman index of two graph products
Abstract
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.
Keywords
References
- [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.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
May 7, 2020
Submission Date
August 10, 2017
Acceptance Date
August 15, 2019
Published in Issue
Year 2020 Volume: 7 Number: 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, and 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 (May 1, 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 and N. Shobe, “Degree distance and Gutman index of two graph products”, Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 7, no. 2, pp. 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 (May 1, 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, and Nabi Shobe. “Degree Distance and Gutman Index of Two Graph Products”. Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 7, no. 2, May 2020, pp. 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. 2020 May 1;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