Results 21 to 30 of about 85 (78)

Wiener index and addressing of some finite graphs

AKCE International Journal of Graphs and Combinatorics, 2023
An addressing of length t of a graph G is an assignment of t-tuples with entries in [Formula: see text] called addresses, to the vertices of G such that the distance between any two vertices can be determined from their addresses.
Mona Gholamnia Taleshani, Ahmad Abbasi
doaj   +1 more source

Sombor index of zero-divisor graphs of commutative rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this paper, we investigate the Sombor index of the zero-divisor graph of ℤn which is denoted by Γ(ℤn) for n ∈ {pα, pq, p2q, pqr} where p, q and r are distinct prime numbers. Moreover, we introduce an algorithm which calculates the Sombor index of Γ(ℤn)
Gürsoy Arif, Ülker Alper, Kircali Gürsoy Necla   +2 more
doaj   +1 more source

Analysis of the Wiener Index for Graph Families Generated by Subdivision‐Based Double Join and Double Corona Products

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
Among the diverse types of graph products, the double join and double corona operations have remained central to many recent developments in graph theory, offering fresh insights and problem‐solving strategies. Subdivision graphs, in particular, serve as an essential tool for examining how structural modifications along edges influence the overall ...
M. Vimal, Md. Ashraful Alam, G. Kalaimurugan, Almudena P. Márquez   +3 more
wiley   +1 more source

Euler and Gourava Sombor Coindices Bounds and Python‐Based QSPR Modeling for Butane Derivatives and Ocular Pharmaceuticals

Journal of Chemistry, Volume 2026, Issue 1, 2026.
Topological indices are crucial in modeling of molecular structures of graphs and are also useful in correlation with physicochemical properties. In this paper, we propose the Euler Sombor coindex and Gourava Sombor coindex, and we derive bounds by using some graph invariants of a graph such as the degree of a vertex, the order, and the size of a graph.
Suha Wazzan, Gul Ozkan Kizilirmak, Munmun Bardhan   +2 more
wiley   +1 more source

Predictive modeling of physical properties in silane compounds using topological descriptors: A computational approach

Main Group Metal Chemistry
Silane compounds are a class of chemical compounds composed of silicon (Si) and hydrogen (H), characterized by the general formula SiH4−xRx{{\rm{SiH}}}_{4-x}{R}_{x}, where RR represents various organic groups. The simplest member of this family is silane
Zhang Xiujun, Yousaf Shamaila, Shahzadi Komal, Ibrahim Sobhy M., Aslam Adnan   +4 more
doaj   +1 more source

Exploring Graph Product Operations Through Eccentricity Connectivity Coindex: A Comprehensive QSPR Analysis of Octane Isomers

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this article, the first eccentricity connectivity coindex is introduced as ECI¯G=∑uv∉EGε2u+ε2v, in which ε(u) denotes the eccentricity of the vertex u in the simple connected graph G. Then, the exact expressions are obtained for the first eccentricity connectivity coindex of some graph products.
Suha Wazzan, Gul Ozkan Kizilirmak, Zafar Ullah   +2 more
wiley   +1 more source

Topological Invariants for the General Structure of Grape Seed Proanthocyanidins

, 2022
In this paper, we formulate the degree-based topological indicessuch as first Zagreb index, second Zagreb index, third Zagreb index,atom bond connectivity index, geometric-arithmetic (GA) index, generalsum connectivity index, hyper-Zagreb index ...
Muhammad Haroon Aftab; Department of Mathematics and Statistics, The University of Lahore, Lahore, Muhammad Rafaqat; Department of Mathematics and Statistics, The University of Lahore, Lahore, Muhammad Hussain; Department of Mathematics, COMSATS University Islamabad, Lahore campus,   +2 more
core  

Contraharmonic Index: Extremal Results for Unicyclic Graphs and Bounds for General Graphs

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Let G be a graph with edge set E(G). The degree of a vertex w in G is denoted by dw. The contraharmonic index of G is defined as CHG=∑uv∈EGdu+dv−1du2+dv2. In this paper, we investigate several properties of the contraharmonic index, including extremal results for unicyclic graphs of a given order, as well as bounds and the effects of an edge removal in
Abdulaziz Mutlaq Alotaibi, Akbar Ali, Smritijit Sen   +2 more
wiley   +1 more source

The Second Maximum Mostar Index of Unicyclic Graphs With Given Diameter

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Topological invariants are key tools for studying the physicochemical and thermodynamic properties of chemical compounds. Recently, a new bond‐additive distance‐based graph invariant called the Mostar index has been developed. It measures the importance of individual edges and the graph as a whole. It is denoted and defined as MoG=∑xy∈EGnxxy−nyxy. This
Muhammad Amer Qureshi, Asad Ullah, Parvez Ali, Emad E. Mahmoud, Melaku Berhe Belay, Zafar Ullah   +5 more
wiley   +1 more source

Leap Zagreb indices of certain chemical structures: a topological analysis

Main Group Metal Chemistry
Topological indices serve as important molecular descriptors in quantitative structure–property relationship (QSPR) and quantitative structure–activity relationship (QSAR) studies.
Rehman Masood Ur, Cai Gaixiang, Iqbal Javaria, Salman Muhammad   +3 more
doaj   +1 more source