Structural investigation of carbon nanocone through topological coindices

MC Shanmukha, A Usha, KC Shilpa… - … Journal of Quantum …, 2023 - Wiley Online Library
Topological descriptors play a significant role in the selection of leading molecules for
studies/drug design/research. As these descriptors equip the quantitative structure–activity …

Computation of the forgotten topological index and co-index for carbon base nanomaterial

OC Havare, AK Havare - Polycyclic Aromatic Compounds, 2022 - Taylor & Francis
Molecular topological indices are numerical descriptor of molecular structure obtained via
molecular graph G. The forgotten topological index F (G) is a vertex degree based …

[HTML][HTML] Sufficient Conditions for a Graph to Be -Connected, -Deficient, -Hamiltonian and -Independent in Terms of the Forgotten Topological Index

G Su, S Wang, J Du, M Gao, KC Das, Y Shang - Mathematics, 2022 - mdpi.com
The forgotten topological index of a (molecule) graph is the sum of cubes of all its vertex
degrees, which plays a significant role in measuring the branching of the carbon atom …

New results on the forgotten topological index and coindex

A Jahanbani, M Atapour, R Khoeilar - Journal of Mathematics, 2021 - Wiley Online Library
The ℱ‐coindex (forgotten topological coindex) for a simple connected graph G is defined as
the sum of the terms ζ G 2 y+ ζ G 2 x over all nonadjacent vertex pairs (x, y) of G, where ζ G y …

[HTML][HTML] On extended adjacency index with respect to acyclic, unicyclic and bicyclic graphs

B Yang, VV Manjalapur, SP Sajjan, MM Mathai, JB Liu - Mathematics, 2019 - mdpi.com
For a (molecular) graph G, the extended adjacency index EA (G) is defined as Equation (1).
In this paper we introduce some graph transformations which increase or decrease the …

The Aα-spread of a graph

Z Lin, L Miao, SG Guo - Linear Algebra and its Applications, 2020 - Elsevier
Abstract Let A (G) and D (G) be the adjacency matrix and the degree diagonal matrix of a
graph G, respectively. For any real number α∈[0, 1], Nikiforov defined the A α-matrix of a …

New bounds for some topological indices

H Kırgız, AD Maden - … Journal of Foundations of Computer Science, 2022 - World Scientific
The biological, chemical, and structural properties of molecular graphs can be predicted by
using topological indices. The lower and upper bounds of fundamental topological indices …

Extermal forgotten topological index of quasi-unicyclic graphs

AT Karimi - Asian-European Journal of Mathematics, 2022 - World Scientific
The forgotten topological index of a graph 𝒢, denoted by F (𝒢), is defined as the sum of
weights d (u) 2+ d (v) 2 overall edges uv of 𝒢, where d (u) denotes the degree of a vertex u …

Some bounds on forgotten topological index

K Agilarasan, A Selvakumar - International Journal of Mathematics …, 2018 - ijmttjournal.org
The forgotten index F (G) is defined as the sum of cubes of the degrees of the vertices of the
graph G. In this paper we establish some new upper bounds for the Forgotten Topological …

树的指数型反遗忘指数的极值问题

曾明瑶, 邓汉元 - 数学理论与应用, 2022 - mta.csu.edu.cn
设~ $ G $ 为简单图, $ E (G) $ 为其边集, 则~ $ G $ 的指数型反遗忘指数~ $ e^{\frac
{1}{\mathcal {F}}}(G)=\sum_ {uv\in E (G)} e^{\left (\frac {1}{{d_G^ 2 (u)}}+\frac {1}{{d_G^ 2t …