Survey on geometric-arithmetic indices of graphs

KC Das, I Gutman, B Furtula - MATCH Communications in …, 2011 - scidar.kg.ac.rs
The concept of geometric-arithmetic indices (GA) was introduced in the chemical graph
theory very recently. In spite of this, several papers have already appeared dealing with …

A new geometric–arithmetic index

G Fath-Tabar, B Furtula, I Gutman - Journal of mathematical chemistry, 2010 - Springer
A new molecular-structure descriptor GA 2, belonging to the class of geometric–arithmetic
indices, is considered. It is closely related to the Szeged and vertex PI indices. The main …

[PDF][PDF] K-Banhatti Sombor Invariants of Certain Computer Networks.

K Hamid, MW Iqbal, AUR Virk, MU Ashraf… - … , Materials & Continua, 2022 - researchgate.net
Any number that can be uniquely determined by a graph is called a graph invariant. During
the last twenty years' countless mathematical graph invariants have been characterized and …

Discovering irregularities from computer networks by topological map**

K Hamid, M Waseem Iqbal, Q Abbas, M Arif… - Applied Sciences, 2022 - mdpi.com
Any number that can be uniquely identified and varied by a graph is known as a graph
invariant. This paper will talk about three unique variations of bridge networks, sierpinski …

The Szeged, vertex PI, first and second Zagreb indices of corona product of graphs

Z Yarahmadi, AR Ashrafi - Filomat, 2012 - JSTOR
The corona product 𝐺𝑜𝐻 of two graphs 𝐺 and 𝐻 is defined as the graph obtained by taking
one copy of 𝐺 and| 𝑉 (𝐺)| copies of 𝐻 and joining the i-th vertex of 𝐺 to every vertex in the 𝑖 …

[PDF][PDF] Topological Evaluation of Certain Computer Networks by Contraharmonic-Quadratic Indices.

AM Alghamdi, K Hamid, MW Iqbal… - … , Materials & Continua, 2023 - researchgate.net
In various fields, different networks are used, most of the time not of a single kind; but rather
a mix of at least two networks. These kinds of networks are called bridge networks which are …

Hyper Zagreb index of bridge and chain grpahs

N De - arxiv preprint arxiv:1703.08325, 2017 - arxiv.org
Let G be a simple connected molecular graph with vertex set $ V (G) $ and edge set $ E (G)
$. One important modification of classical Zagreb index, called hyper Zagreb index $ HM (G) …

[HTML][HTML] The weighted vertex PI index

A Ilić, N Milosavljević - Mathematical and Computer Modelling, 2013 - Elsevier
The vertex PI index is a distance-based molecular structure descriptor, that recently found
numerous chemical applications. In order to increase diversity of this topological index for …

Computation of topological indices of some graphs

MR Darafsheh - Acta applicandae mathematicae, 2010 - Springer
Abstract Let G=(V, E) be a simple connected graph with vertex set V and edge set E. The
Wiener index of G is defined by W (G)=∑{x, y}⊆ V d (x, y), where d (x, y) is the length of the …

[HTML][HTML] On the revised Szeged index

R **ng, B Zhou - Discrete Applied Mathematics, 2011 - Elsevier
We give bounds for the revised Szeged index, and determine the n-vertex unicyclic graphs
with the smallest, the second-smallest and the third-smallest revised Szeged indices for n≥ …