The minimal chemical tree for the difference between geometric–arithmetic and Randić indices

S Mondal, KC Das, D Huh - International Journal of Quantum …, 2024 - Wiley Online Library
Topological indices are numerical parameters derived from the structural information of
chemical compounds. By providing a quantitative description of molecular structures …

[PDF][PDF] Extremal Sombor indices of tetracyclic (chemical) graphs

H Liu, L You, Y Huang - MATCH Commun. Math. Comput. Chem, 2022 - match.pmf.kg.ac.rs
Extremal Sombor Indices of Tetracyclic (Chemical) Graphs Page 1 MATCH
Communications in Mathematical and in Computer Chemistry MATCH Commun. Math …

Sharp bounds on the arithmetic–geometric index of graphs and line graphs

G Li, M Zhang - Discrete Applied Mathematics, 2022 - Elsevier
As a degree-based topological index, the arithmetic–geometric index was firstly introduced
by Shegehall and Kanabur and was defined as AG= AG (G)=∑ uv∈ EG d u+ dv 2 dudv for a …

CMMSE 18: geometric-arithmetic index and line graph

D Pestana, JM Sigarreta, E Tourís - Journal of Mathematical Chemistry, 2019 - Springer
The concept of geometric-arithmetic index was introduced in the chemical graph theory
recently, but it has shown to be useful. The aim of this paper is to obtain new inequalities …

[PDF][PDF] Tricyclic graphs with the minimum symmetric division deg index

C Liu, Y Pan, J Li - Discrete Math. Lett, 2020 - dmlett.com
The symmetric division deg (SDD) index of a simple graph G is defined as SDD (G)=∑ uv∈
E (G)(du dv+ dv du), where E (G) is the edge set of G and du denotes the degree of the …

Sharp bounds on the symmetric division deg index of graphs and line graphs

H Liu, Y Huang - Computational and Applied Mathematics, 2023 - Springer
For a graph G with vertex set VG and edge set EG, the symmetric division deg index is
defined as SDD (G)=∑ uv∈ EG (dudv+ dvdu), where du denotes the degree of vertex u in …

Algorithms based on path contraction carrying weights for enumerating subtrees of tricyclic graphs

Y Yang, B Chen, G Zhang, Y Li, D Sun… - The Computer …, 2022 - academic.oup.com
The subtree number index of a graph, defined as the number of subtrees, attracts much
attention recently. Finding a proper algorithm to compute this index is an important but …

Role of GA, AG and R in Structure-Property Modelling

S Mondal, D Huh, KC Das - Polycyclic Aromatic Compounds, 2024 - Taylor & Francis
Molecular descriptors are essential tools that bridge the gap between chemical structures
and their properties. Among these, the Randić index (R), geometric-arithmetic index (GA) …

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 …

On the extremal geometric–arithmetic graphs with fixed number of vertices having minimum degree

M Milivojević Danas, L Pavlović - Annals of Operations Research, 2022 - Springer
The geometric–arithmetic index GA of a graph is defined as sum of weights of all edges of
graph. The weight of one edge is quotient of the geometric and arithmetic mean of degrees …