Results 1 to 10 of about 9,267 (218)

On arithmetic–geometric eigenvalues of graphs

open access: yesMain Group Metal Chemistry, 2022
In this article, we are interested in characterizing graphs with three distinct arithmetic–geometric eigenvalues. We provide the bounds on the arithmetic–geometric energy of graphs. In addition, we carry out a statistical analysis of arithmetic–geometric
Rather Bilal A.   +3 more
doaj   +1 more source

New Results on the Geometric-Arithmetic Index

open access: yesJournal of Mathematics, 2021
Let G be a graph with vertex set VG and edge set EG. Let du denote the degree of vertex u∈VG. The geometric-arithmetic index of G is defined as GAG=∑uv∈EG2dudv/du+dv.
Akbar Jahanbani   +2 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

Conjecture Involving Arithmetic-Geometric and Geometric-Arithmetic Indices

open access: yesDiscrete Dynamics in Nature and Society, 2022
The geometric-arithmetic (GA) index of a graph G is the sum of the ratios of geometric and arithmetic means of end-vertex degrees of edges of G. Similarly, the arithmetic-geometric (AG) index of G is defined. Recently, Vujošević et al. conjectured that a
Zainab Alsheekhhussain   +3 more
doaj   +1 more source

Study of Neighborhood Degree-Based Topological Indices via Direct and NM-Polynomial of Starphene Graph

open access: yesJournal of Function Spaces, 2022
Our objective is to compute the neighborhood degree-based topological indices via NM-polynomial for starphene. In the neighborhood degree-based topological indices, we compute the third version of the Zagreb index; neighborhood second Zagreb index ...
Deeba Afzal   +5 more
doaj   +1 more source

On the spread of the geometric-arithmetic matrix of graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2022
In a graph G, if di is the degree of a vertex vi, the geometric-arithmetic matrix GA(G) is a square matrix whose [Formula: see text]-th entry is [Formula: see text] whenever vertices i and j are adjacent and 0 otherwise.
Bilal A. Rather   +2 more
doaj   +1 more source

Topological Descriptors of M-Carbon Mr,s,t

open access: yesJournal of Chemistry, 2021
We have studied topological indices of the one the hardest crystal structures in a given chemical system, namely, M-carbon. These structures are based and obtained by the famous algorithm USPEX. The computations and applications of topological indices in
Hong Yang, Muhammad Naeem
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

Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph

open access: yesJournal of Chemistry, 2021
A measurement of the molecular topology of graphs is known as a topological index, and several physical and chemical properties such as heat formation, boiling point, vaporization, enthalpy, and entropy are used to characterize them.
Muhammad Asad Ali   +3 more
doaj   +1 more source

Some Topological Invariants of Graphs Associated with the Group of Symmetries

open access: yesJournal of Chemistry, 2020
A topological index is a quantity that is somehow calculated from a graph (molecular structure), which reflects relevant structural features of the underlying molecule.
Chang-Cheng Wei   +6 more
doaj   +1 more source

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