Results 21 to 30 of about 39,692 (244)

On Certain Aspects of Topological Indices

open access: yesJournal of Mathematics, 2021
A topological index, also known as connectivity index, is a molecular structure descriptor calculated from a molecular graph of a chemical compound which characterizes its topology.
Tanweer Ul Islam   +4 more
doaj   +1 more source

On the Graphs of Minimum Degree At Least 3 Having Minimum Sum-Connectivity Index

open access: yesJournal of Mathematics, 2022
For a graph G, its sum-connectivity index is denoted by χG and is defined as the sum of the numbers du+dv−1/2 over all edges uv of G, where dw denotes the degree of a vertex w∈VG.
Wael W. Mohammed   +5 more
doaj   +1 more source

On the Computation of Some Topological Descriptors to Find Closed Formulas for Certain Chemical Graphs

open access: yesJournal of Chemistry, 2021
In this research paper, we will compute the topological indices (degree based) such as the ordinary generalized geometric-arithmetic (OGA) index, first and second Gourava indices, first and second hyper-Gourava indices, general Randic´ index RγG,for γ=±1,
Muhammad Haroon Aftab   +3 more
doaj   +1 more source

On the sum-connectivity index

open access: yesFilomat, 2011
The sum-connectivity index of a simple graph G is defined in mathematical chemistry as R+(G) = ? uv?E(G)(du+dv)?1/2, where E(G) is the edge set of G and du is the degree of vertex u in G. We give a best possible lower bound for the sum-connectivity index of a graph (a triangle-free graph, respectively) with n vertices and minimum degree at ...
Wang, Shilin   +2 more
openaire   +3 more sources

Exact Formula and Improved Bounds for General Sum-Connectivity Index of Graph-Operations

open access: yesIEEE Access, 2019
For a molecular graph Γ, the general sum-connectivity index is defined as χβ(Γ) = Σvw∈E(Γ)[dΓ(v) + dΓ(w)]β, where β ∈ R and dΓ(v) denotes the degree of the vertex ...
Maqsood Ahmad   +3 more
doaj   +1 more source

Analysis of the properties of the topological Index using (analysis tools)

open access: yesAl-Kitab Journal for Pure Sciences, 2023
Graph G has two sets of information: the vertices, V(G), and the edges, E(G). The definitions for the Connectivity, Geometric Arithmetic, Atomic Bond, and Sum Connectivity Indices of G: were deg(u), deg(v) are a degree of vertices. Dendrimers are
Batool Hatawi, Nabil Aref
doaj   +1 more source

Sum Connectivity Index Under the Cartesian and Strong Products Graph of Monogenic Semigroup

open access: yesInternational Journal of Analysis and Applications, 2023
This field’s main feature is to implement the sum connectivity index method. This sum connectivity index method can solve the monogenic semigroups under the cartesian and strong products.
R. Rajadurai, G. Sheeja
doaj   +1 more source

On the general atom-bond sum-connectivity index

open access: yesAIMS Mathematics, 2023
<abstract><p>This paper is concerned with a generalization of the atom-bond sum-connectivity (ABS) index, devised recently in [A. Ali, B. Furtula, I. Redžepović, I. Gutman, Atom-bond sum-connectivity index, <italic>J. Math. Chem.</italic>, <bold>60</bold> (2022), 2081-2093].
Abeer M. Albalahi, Zhibin Du, Akbar Ali
openaire   +2 more sources

Topological Indices of Certain Transformed Chemical Structures

open access: yesJournal of Chemistry, 2020
Topological indices like generalized Randić index, augmented Zagreb index, geometric arithmetic index, harmonic index, product connectivity index, general sum-connectivity index, and atom-bond connectivity index are employed to calculate the bioactivity ...
Xuewu Zuo   +4 more
doaj   +1 more source

Topological Evaluation of Four Para-Line Graphs Absolute Pentacene Graphs Using Topological Indices

open access: yesInternational Journal of Analysis and Applications, 2023
A real-number to molecular structure mapping is a topological index. It is a graph invariant method for describing physico-chemical properties of molecular structures specific substances. In that article, We examined pentacene’s chemical composition. The
Mukhtar Ahmad   +5 more
doaj   +1 more source

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