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There are various topological indices such as degree based topological indices, distance based topological indices and counting related topological indices etc. These topological indices correlate certain physicochemical properties such as…

Combinatorics · Mathematics 2016-05-09 Shaohui Wang , Jia-Bao Liu , Chunxiang Wang , Sakander Hayat

There are various topological indices for example distance based topological indices and degree based topological indices etc. In QSAR/QSPR study, physiochemical properties and topological indices for example atom bond connectivity index,…

Discrete Mathematics · Computer Science 2018-04-26 Raghisa Khalid , Nazeran Idrees

Topological index is a numerical value associated with chemical constitution for correlation of chemical structure with various physical properties, chemical reactivity or biological activity. In this work, some new indices based on…

Discrete Mathematics · Computer Science 2019-06-18 Sourav Mondal , Nilanjan De , Anita Pal

In chemical graph theory, a topological index is a numerical representation of a chemical network while a topological descriptor correlates certain physico-chemical characteristics of underlying chemical compounds besides its chemical…

Combinatorics · Mathematics 2019-04-25 Haidar Ali , Muhammad Ahsan Binyamin , Muhammad Kashif Shafiq

Carbon nanotube Y-junctions are of great interest to the next generation of innovative multi-terminal nanodevices. Topological indices are graph-theoretically based parameters that describe various structural properties of a chemical…

Mesoscale and Nanoscale Physics · Physics 2023-01-06 Sohan Lal , Vijay Kumar Bhat , Sahil Sharma

Topological indices are graph invariants numeric quantities, which are utilized by researchers to analyze a variety of physiochemical aspects of molecules. The goal of developing topological indices is to give each chemical structure a…

Combinatorics · Mathematics 2022-12-09 Sohan Lal , Karnika Sharma , Vijay Kumar Bhat

Chemical graphs are simple undirected connected graphs, where vertices represent atoms in a molecule and edges represent chemical bonds. A degree-based topological index is a molecular descriptor used to study specific physicochemical…

In chemical graph theory, topological indices are widely used as numerical descriptors for establishing quantitative structure-property relationships (QSPR) and quantitative structure-activity relationships (QSAR). These indices…

Chemical Physics · Physics 2025-11-05 U. Vijaya Chandra Kumar , H. M. Nagesh , Narahari N

We determine the optimum topology of quasi-one dimensional nonlinear optical structures using generalized quantum graph models. Quantum graphs are relational graphs endowed with a metric and a multiparticle Hamiltonian acting on the edges,…

Quantum Physics · Physics 2015-06-19 Rick Lytel , Shoresh Shafei , Mark G. Kuzyk

This contribution describes the mathematical theory of topological indices in solid state systems composed of non-interacting Fermions. In particular, this covers the spectral localizer and the bulk-boundary correspondence.

Mathematical Physics · Physics 2024-03-29 Hermann Schulz-Baldes

A topological index is a real number which is derived from a network or a graph by mathematically that characterizes the whole of its structural properties. Recently, there are various topological indices that have been introduced in…

Combinatorics · Mathematics 2019-04-23 Prosanta Sarkar , Nilanjan De , Anita Pal

This study conducts a Quantitative Structure Property Relationship (QSPR) analysis to explore the correlation between the physical properties of drug molecules and their topological indices using machine learning techniques. While prior…

Biomolecules · Quantitative Biology 2025-05-14 M. J. Nadjafi Arani , S. Sorgun , M. Mirzargar

Many real life networks present an average path length logarithmic with the number of nodes and a degree distribution which follows a power law. Often these networks have also a modular and self-similar structure and, in some cases -…

Statistical Mechanics · Physics 2009-02-26 Alicia Miralles , Lichao Chen , Zhongzhi Zhang , Francesc Comellas

A topological index reflects the physical, chemical and structural properties of a molecule, and its study has an important role in molecular topology, chemical graph theory and mathematical chemistry. It is a natural problem to…

Combinatorics · Mathematics 2022-07-08 Rui Song , Qiongxiang Huang

To avoid extensive lab work on properties of chemical compounds, QSPR/QSAR analysis for topological descriptors is a productive statistical approach to analyze various physicochemical properties of chemical compounds. Many researchers have…

Chemical Physics · Physics 2023-05-23 A. Bharali , Mohammad Essa Nazari , Amanullah Nabavi

The atom-bond connectivity (ABC) index is a degree-based topological index. It was introduced due to its applications in modeling the properties of certain molecular structures and has been since extensively studied. In this note, we…

Combinatorics · Mathematics 2016-08-26 Xiu-Mei Zhang , Yu Yang , Hua Wang , Xiao-Dong Zhang

Topological indices play an important role in mathematical chemistry especially in the quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship (QSAR). Recent research indicates that the augmented…

Combinatorics · Mathematics 2016-07-26 Akbar Ali , Zahid Raza , Akhlaq Ahmad Bhatti

Network topology is a fundamental aspect of network science that allows us to gather insights into the complicated relational architectures of the world we inhabit. We provide a first specific study of neighbourhood degree sequences in…

Social and Information Networks · Computer Science 2019-06-11 Keith M. Smith

Topological indices are molecular descriptors that describe the properties of chemical compounds. These topological indices correlate specific physico-chemical properties like boiling point, enthalpy of vaporization, strain energy, and…

Combinatorics · Mathematics 2022-10-05 Haritha T , Chithra A. V.

Many real life networks present an average path length logarithmic with the number of nodes and a degree distribution which follows a power law. Often these networks have also a modular and self-similar structure and, in some cases -…

Physics and Society · Physics 2010-02-17 Alicia Miralles , Francesc Comellas , Lichao Chen , Zhongzhi Zhang
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