[PDF][PDF] Recent lower bounds for geometric-arithmetic index

A Portilla, JM Rodrıguez, JM Sigaretta - Discrete Mathematics Letters, 2019 - dmlett.com
Although the concept of geometric-arithmetic indices has been introduced in the chemical
graph theory recently, these indices have already been proved to be useful. After the …

[HTML][HTML] On the extremal graphs for general sum-connectivity index (χα) with given cyclomatic number when α> 1

A Ali, D Dimitrov, Z Du, F Ishfaq - Discrete Applied Mathematics, 2019 - Elsevier
Abstract Let V (G) and E (G) be, respectively, the vertex set and edge set of a graph G. The
general sum-connectivity index of a graph G is denoted by χ α (G) and is defined as∑ uv∈ …

On the difference between atom‐bond connectivity index and Randić index of binary and chemical trees

A Ali, Z Du - International Journal of Quantum Chemistry, 2017 - Wiley Online Library
This article is devoted to establishing some extremal results with respect to the difference of
two well‐known bond incident degree indices [atom‐bond connectivity (ABC) index and …

On R degrees of vertices and R indices of graphs

S Ediz - arXiv preprint arXiv:1707.08190, 2017 - arxiv.org
Topological indices have been used to modeling biological and chemical properties of
molecules in quantitive structure property relationship studies and quantitive structure …

Geometric arithmetic and mostar indices of P2n+F Pn+1

M Cancan, M Naeem, A Aslam, W Gao… - Journal of Information …, 2020 - Taylor & Francis
Abstract Let G=(V, E) be a simple connected graph, where V (G) and E (G) represent the
vertex set and edge set of G respectively. The vertex set V (G) associates with the atoms and …

[PDF][PDF] Maximum and second maximum of geometric-arithmetic index of tricyclic graphs

H Deng, S Elumalai… - MATCH Commun. Math …, 2018 - researchgate.net
We consider only simple, undirected and finite graphs. A graph is denoted by G= G (V, E),
where V is its vertex set and E its edge set. The order of G is the number n=| V (G)| of its …

More on inverse degree and topological indices of graphs

S Elumalai, SM Hosamani, T Mansour, MA Rostami - Filomat, 2018 - doiserbia.nb.rs
The inverse degree of a graph G with no isolated vertices is defined as the sum of reciprocal
of vertex degrees of the graph G. In this paper, we obtain several lower and upper bounds …

Extremal graphs on geometric‐arithmetic index of tetracyclic chemical graphs

S Balachandran, H Deng, S Elumalai… - … Journal of Quantum …, 2021 - Wiley Online Library
The main concern of this article is to present the complete classification of tetracyclic
(chemical) graphs and establishing some extremal results with respect to the geometric …

Estimating some general molecular descriptors of saturated hydrocarbons

A Ali, Z Du, K Shehzadi - Molecular Informatics, 2019 - Wiley Online Library
Three general molecular descriptors, namely the general sum‐connectivity index, general
Platt index and ordinary generalized geometric‐arithmetic index, are studied here. Best …

On the minimal general sum-connectivity index of connected graphs without pendant vertices

A Ali, S Ahmed, Z Du, W Gao, MA Malik - IEEE Access, 2019 - ieeexplore.ieee.org
The general sum-connectivity index of a graph, denoted by, is defined as, where is the edge
connecting the vertices, denotes the degree of a vertex, and is a non-zero real number. For …