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There is powerful relation between the chemical behaviour of chemical compounds and their molecular structures. Topological indices defined on these chemical molecular structures are capable to predict physical properties, chemical…

Combinatorics · Mathematics 2018-05-15 Sourav Mondal , Nilanjan De , Anita Pal

Neural Networks (GNNs) have revolutionized the molecular discovery to understand patterns and identify unknown features that can aid in predicting biophysical properties and protein-ligand interactions. However, current models typically…

Machine Learning · Computer Science 2022-12-21 Carter Knutson , Gihan Panapitiya , Rohith Varikoti , Neeraj Kumar

Ionic Liquids (ILs) provide a promising solution for CO$_2$ capture and storage to mitigate global warming. However, identifying and designing the high-capacity IL from the giant chemical space requires expensive, and exhaustive simulations…

Chemical Physics · Physics 2022-11-10 Yue Jian , Yuyang Wang , Amir Barati Farimani

In theoretical chemistry, distance-based molecular structure descriptors are used for modeling physical, pharmacologic, biological and other properties of chemical compounds. We introduce a generalized Wiener polarity index $W_k (G)$ as the…

Combinatorics · Mathematics 2012-07-11 Aleksandar Ilic , Milovan Ilic

Accurate prediction of Global Warming Potential (GWP) is essential for assessing the environmental impact of chemical processes and materials. Traditional GWP prediction models rely predominantly on molecular structure, overlooking critical…

Machine Learning · Computer Science 2024-11-04 Jaewook Lee , Xinyang Sun , Ethan Errington , Miao Guo

Topological indices are scientific details of graphs which represents its topology and of the most part graph invariant. In QSAR/QSPR, physico-chemical characteristics and topological indices, for example, atom bond connectivity (ABC) and…

Combinatorics · Mathematics 2019-10-24 Haidar Ali , Farzana Kousar

Aqueous solubility (AS) is a key physiochemical property that plays a crucial role in drug discovery and material design. We report a novel unified approach to predict and infer chemical compounds with the desired AS based on simple…

Machine Learning · Computer Science 2024-09-09 Muniba Batool , Naveed Ahmed Azam , Jianshen Zhu , Kazuya Haraguchi , Liang Zhao , Tatsuya Akutsu

A deceptively simple descriptor, viz. the number of carbon / non-hydrogenic atoms present in a molecule, is proposed for the development of useful quantitative-structure-property-relationship (QSPR) models. It is tested in models pertaining…

Chemical Physics · Physics 2007-05-23 S. Giri , D. R. Roy , P. Bultinck , V. Subramanian , P. K. Chattaraj

The weighted Szeged index and the weighted vertex-PI index of a connected graph $G$ are defined as $wSz(G) = \sum_{e=uv \in E(G)} (deg (u) + deg (v))n_u(e)n_v(e)$ and $wPI_v(G) = \sum_{e=uv \in E(G)} (deg(u) + deg(v))( n_u(e) + n_v(e))$,…

Combinatorics · Mathematics 2019-11-11 Niko Tratnik

The Wiener polarity index of a graph is defined as the number of unordered pairs of vertices at distance three. In recent years, this topological index was extensively studied since it has many known applications in chemistry and also in…

Combinatorics · Mathematics 2019-04-09 Niko Tratnik

The melting temperature is important for materials design because of its relationship with thermal stability, synthesis, and processing conditions. Current empirical and computational melting point estimation techniques are limited in…

Recently a novel framework has been proposed for designing the molecular structure of chemical compounds using both artificial neural networks (ANNs) and mixed integer linear programming (MILP). In the framework, we first define a feature…

Machine Learning · Computer Science 2021-08-25 Jianshen Zhu , Naveed Ahmed Azam , Kazuya Haraguchi , Liang Zhao , Hiroshi Nagamochi , Tatsuya Akutsu

Predicting molecular properties (e.g., atomization energy) is an essential issue in quantum chemistry, which could speed up much research progress, such as drug designing and substance discovery. Traditional studies based on density…

Computational Physics · Physics 2019-08-20 Chengqiang Lu , Qi Liu , Chao Wang , Zhenya Huang , Peize Lin , Lixin He

Vulnerability measures and topological indices are crucial in solving various problems such as the stability of the communication networks and development of mathematical models for chemical compounds. In 1947, Harry Wiener introduced a…

Combinatorics · Mathematics 2025-03-06 Sanju Vaidya , Aihua Li

In the paper we develop new methods for calculating the two well-known topological indices, the degree-distance and the Gutman index. Firstly, we prove that the Wiener index of a double vertex-weighted graph can be computed from the Wiener…

Combinatorics · Mathematics 2019-04-09 Simon Brezovnik , Niko Tratnik

The Wiener index (i.e., the total distance or the transmission number), defined as the sum of distances between all unordered pairs of vertices in a graph, is one of the most popular molecular descriptors. In this article we summarize some…

Combinatorics · Mathematics 2015-10-06 Martin Knor , Riste Škrekovski , Aleksandra Tepeh

Protein molecules can be approximated by discrete polygonal chains of amino acids. Standard topological tools can be applied to the smoothening of the polygons to introduce a topological classification of proteins, for example, using the…

Biomolecules · Quantitative Biology 2019-03-12 Dmitry Melnikov , Antti J Niemi , Ara Sedrakyan

We present an algorithm for computing melting points by autonomously learning from coexistence simulations in the NPT ensemble. Given the interatomic interaction model, the method makes decisions regarding the number of atoms and…

Materials Science · Physics 2023-10-16 Olga Klimanova , Timofei Miryashkin , Alexander Shapeev

Topological indices are parameters associated with graphs that have many applications in different areas such as mathematical chemistry. Among various topological indices, the Wiener index is classical \cite{w}. In this paper, we prove a…

Combinatorics · Mathematics 2023-03-23 P. Gangaeswari , K. Selvakumar , G. Arunkumar

A topological index of a graph $G$ is a numerical quantity that describes its topology. Reverse degree-based topological indices play an important role in finding topological descriptors. Azacitidine, Decitabine, and Guadecitabine are…

Biomolecules · Quantitative Biology 2024-04-01 H. M. Nagesh