Results 41 to 50 of about 91 (73)

Exact Formula for Computing the Hyper-Wiener Index on Rows of Unit Cells of the Face-Centred Cubic Lattice

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Similarly to Wiener index, hyper-Wiener index of a connected graph is a widely applied topological index measuring the compactness of the structure described by the given graph. Hyper-Wiener index is the sum of the distances plus the squares of distances
Mujahed Hamzeh, Nagy Benedek
doaj   +1 more source

An Effective Approach in Fuzzy Graph Molecular Modeling Using Randic Index and Its Applications in Medicinal Chemistry for Parkinson’s Drugs

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In graph theory, the Randic index (R) is a topological graph invariant widely used as a physicochemical descriptor in the mathematical modeling of molecular structures. However, traditional molecular graphs fail to capture the heterogeneity of chemical bonds, since they treat all edges as uniform, ignoring variations in bond lengths and strengths.
Ying Wang, Ali Asghar Talebi, Mahsa Sadeghi, Aysha Khan, Jana Shafi, Pramita Mishra   +5 more
wiley   +1 more source

Extremal Values on the General Degree–Eccentricity Index of Unicyclic Graphs of Fixed Diameter

Journal of Mathematics, Volume 2025, Issue 1, 2025.
For a connected graph G and two real numbers a, b, the general degree–eccentricity index of G is given by DEIa,bG=∑v∈VGdGavecGbv, where V(G) represent the vertex set of graph G, dG(v) denotes the degree of vertex v, and ecG(v) is the eccentricity of v in G, that is, the maximum distance from v to another vertex of G. This index generalizes several well‐
Mesfin Masre, G. Muhiuddin
wiley   +1 more source

Computing Some Topological Indices of Two Kinds of Dendrimer Graphs G[n] and H[n]

Journal of Mathematics, Volume 2024, Issue 1, 2024.
Dendrimer molecules are macromolecules which have many applications in nanosciences, drug delivery, biology, and different areas of sciences. Topological indices of chemical graph theory are numerical descriptor of a molecular structure. The dendrimer graph G[n] is obtained by attaching the new paths P9, joined each pendant vertex of G[n − 1] to ...
Hojat Kaviani, Lotfallah Pourfaraj, Huadong Su   +2 more
wiley   +1 more source

Upper bounds for the global cyclicity index

Open Mathematics
We find new upper bounds for the global cyclicity index, a variant of the Kirchhoff index, and discuss the wide family of graphs for which the bounds are attained.
Palacios José Luis
doaj   +1 more source

On the multiplicative sum Zagreb index of molecular graphs

Open Mathematics
Multiplicative sum Zagreb index is a modified version of the famous Zagreb indices. For a graph GG, the multiplicative sum Zagreb index is defined as Π1*(G)=∏uv∈E(G)(dG(u)+dG(v)){\Pi }_{1}^{* }\left(G)={\prod }_{uv\in E\left(G)}\left({d}_{G}\left(u)+{d}_{
Sun Xiaoling, Du Jianwei, Mei Yinzhen
doaj   +1 more source

Synthesis and properties of octahedral silsesquioxane with vinyl acetate side group

Science and Engineering of Composite Materials
A new type of octa polyhedral oligomeric silsesquioxane (Octa DMS-POSS) has been obtained. The synthesized Octa DMS-POSS is further modified with vinyl acetate in order to obtain a vinyl acetate-polyhedral oligomeric silsesquioxane (VAPOSS) with a better
Wang Xiaorong, Wei Wenjing, Yang Yanzhe, Ma Guoyan   +3 more
doaj   +1 more source

Biomolecular Topology: Modelling and Analysis. [PDF]

Acta Math Sin Engl Ser, 2022
Liu J, Xia KL, Wu J, Yau SS, Wei GW.
europepmc   +1 more source

Quantifying steric hindrance and topological obstruction to protein structure superposition. [PDF]

Algorithms Mol Biol, 2021
Røgen P.
europepmc   +1 more source

Tilings with Nonflat Squares: A Characterization. [PDF]

Milan J Math, 2022
Friedrich M, Seitz M, Stefanelli U.
europepmc   +1 more source