Attitude of Some Graph Invariants under Edge Reformulations of Graph

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.

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Publication Details

Journal
Turkish Journal of Mathematics and Computer Science
Published
2026-10-13
DOI
https://doi.org/10.47000/tjmcs.1874206
Primary Topic
Graph theory and applications
Type
article
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article

Attitude of Some Graph Invariants under Edge Reformulations of Graph

Fatma El-Safty
Turkish Journal of Mathematics and Computer Science
Graph theory and applications
article

Attitude of Some Graph Invariants under Edge Reformulations of Graph

Fatma El-Safty
article en

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.

Turkish Journal of Mathematics and Computer ScienceVol. 18(3)
Damanhour University (EG)
Openalex Percentile: Top 7%
Graph theory and applications
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