In this paper we deal with the errors in [15] and give the correct expressions for their vertex PI indices in terms of other indices of two individual graphs. 2 ...

In this paper we deal with the errors in [15] and give the correct expressions for their vertex PI indices in terms of other indices of two individual graphs. 2 ...

Mar 31, 2023 · In this paper, we give the upper and lower bounds on the weighted vertex PI index of connected tricyclic graphs and completely characterize the corresponding ...

This paper presents a triangle cover for a graph, along with a novel method for finding the PI index using this cover.

The weighted vertex PI index of a graph G is defined by PIw(G)=?e=uv?E(G) (dG(u)+dG(v))(nu(e|G) + nv(e|G)) where dG(u) denotes the vertex degree of u and ...

Oct 22, 2024 · The vertex PI index is a distance-based molecular structure descriptor, that recently found numerous chemical applications.

The vertex-PI index of a graph G was introduced by one of us very recently. It is defined as [PI.sub.v](G) = [summation over (e=uv[member of]E(G))] [[ ...

Apr 18, 2022 · The Padmakar-Ivan (PI) index of a graph G is defined as PI(G) = Pe∈E(G) (|V (G)| − NG(e)), where NG(e) is the number of equidistant vertices for ...

The vertex Padmakar-Ivan ( PI v) index of a graph G was introduced as the sum over all edges e = uv of G of the number of vertices which are not equidistant ...

In this paper we will compute exact formulas for the vertex PI index and the Szeged index of the chain graph from the respective indices of the individual ...