Attitude of Some Graph Invariants under Edge Reformulations of Graph
Abstract
Let G be a graph. The graphs Tk(G) and Tk(G) are defined to be the subdivision of the k-inflation and k-triangulation of G, respectively. In this paper, formulas for the number of spanning trees and Kirchhoff indices of these graphs are obtained. These formulas are expressed in terms of graph invariants of G.
Keywords
References
- Aboutahoun, A.W., El-Safty, F., Tutte polynomial of self-similar network models with applications, Ars Combin., 157(2023), 53–63.
- Akdim, M., Drissi, A., A comprehensive review of graph theory applications in secret sharing schemes, J. Comb. Math. Comb. Comput., 123(2024), 61–73.
- Bapat, R.B., Graphs and Matrices, Springer, London, 2010.
- Bondy, J.A., Murty, U.S.R., Graph Theory and Its Application, Macmillan, London, 1976.
- Chen, H., Zhang, F. (2007), Resistance distance and the normalized Laplacian spectrum, Discrete Appl. Math., 155(2007), 654–661.
- Cvetkovic, D.M., Doob, M., Sachs, H., Spectra of Graphs, Academic Press, New York, 1980.
- El-Safty, F., Laplacian polynomial and Kirchhoff index of some graphs generated by a cycle, Art Discrete Appl. Math., 8(2025), ID 03.
- El-Safty, F., Aboutahoun, A.W., Number of spanning trees of iterated triangulation of a graph, Adv. Appl. Discrete Math., 42(2025), 1–16.
Details
Primary Language
English
Subjects
Combinatorics and Discrete Mathematics (Excl. Physical Combinatorics)
Journal Section
Research Article
Authors
Publication Date
October 13, 2026
Submission Date
January 29, 2026
Acceptance Date
April 17, 2026
Published in Issue
Year 2026 Volume: 18 Number: 3
APA
El-Safty, F. (2026). Attitude of Some Graph Invariants under Edge Reformulations of Graph. Turkish Journal of Mathematics and Computer Science, 18(3), 903-917. https://doi.org/10.47000/tjmcs.1874206
AMA
1.El-Safty F. Attitude of Some Graph Invariants under Edge Reformulations of Graph. TJMCS. 2026;18(3):903-917. doi:10.47000/tjmcs.1874206
Chicago
El-Safty, Fatma. 2026. “Attitude of Some Graph Invariants under Edge Reformulations of Graph”. Turkish Journal of Mathematics and Computer Science 18 (3): 903-17. https://doi.org/10.47000/tjmcs.1874206.
EndNote
El-Safty F (October 1, 2026) Attitude of Some Graph Invariants under Edge Reformulations of Graph. Turkish Journal of Mathematics and Computer Science 18 3 903–917.
IEEE
[1]F. El-Safty, “Attitude of Some Graph Invariants under Edge Reformulations of Graph”, TJMCS, vol. 18, no. 3, pp. 903–917, Oct. 2026, doi: 10.47000/tjmcs.1874206.
ISNAD
El-Safty, Fatma. “Attitude of Some Graph Invariants under Edge Reformulations of Graph”. Turkish Journal of Mathematics and Computer Science 18/3 (October 1, 2026): 903-917. https://doi.org/10.47000/tjmcs.1874206.
JAMA
1.El-Safty F. Attitude of Some Graph Invariants under Edge Reformulations of Graph. TJMCS. 2026;18:903–917.
MLA
El-Safty, Fatma. “Attitude of Some Graph Invariants under Edge Reformulations of Graph”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 3, Oct. 2026, pp. 903-17, doi:10.47000/tjmcs.1874206.
Vancouver
1.Fatma El-Safty. Attitude of Some Graph Invariants under Edge Reformulations of Graph. TJMCS. 2026 Oct. 1;18(3):903-17. doi:10.47000/tjmcs.1874206