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The prediction of the equation of state and the phase behavior of simple fluids (noble gases, carbon dioxide, benzene, methane, short alkane chains) and their mixtures by Monte Carlo computer simulation and analytic approximations based on…

Statistical Mechanics · Physics 2009-11-13 B. M. Mognetti , P. Virnau , L. Yelash , W. Paul , K. Binder , M. Mueller , L. G. MacDowell

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.

As with many parts of the natural sciences, machine learning interatomic potentials (MLIPs) are revolutionizing the modeling of molecular crystals. However, challenges remain for the accurate and efficient calculation of sublimation…

Computational Physics · Physics 2025-09-03 Flaviano Della Pia , Benjamin X. Shi , Venkat Kapil , Andrea Zen , Dario Alfè , Angelos Michaelides

Ionic liquids (ILs) are important solvents for sustainable processes and predicting activity coefficients (ACs) of solutes in ILs is needed. Recently, matrix completion methods (MCMs), transformers, and graph neural networks (GNNs) have…

Machine Learning · Computer Science 2024-01-17 Jan G. Rittig , Karim Ben Hicham , Artur M. Schweidtmann , Manuel Dahmen , Alexander Mitsos

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

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 theoretical chemistry molecular structure descriptors are used for modeling physico-chemical, pharmacological, toxicologic, biological and other properties of chemical compounds. In this paper we study distance-based graph invariants and…

Combinatorics · Mathematics 2011-03-15 Aleksandar Ili\' c

Szeged, PI and Mostar indices are some of the most investigated distance-based molecular descriptors. Recently, many different variations of these topological indices appeared in the literature and sometimes they are all together called…

Combinatorics · Mathematics 2021-02-15 Simon Brezovnik , Niko Tratnik

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

Flash points of organic molecules play an important role in preventing flammability hazards and large databases of measured values exist, although millions of compounds remain unmeasured. To rapidly extend existing data to new compounds…

Measures of the irregularity of chemical graphs could be helpful for QSAR/QSPR studies and for the descriptive purposes of biological and chemical properties, such as melting and boiling points, toxicity and resistance. Here we consider the…

Discrete Mathematics · Computer Science 2016-08-19 Hosam Abdo , Darko Dimitrov , Wei Gao

Gaussian processes (GPs) are a ubiquitous tool for geostatistical modeling with high levels of flexibility and interpretability, and the ability to make predictions at unseen spatial locations through a process called Kriging. Estimation of…

Machine Learning · Statistics 2024-11-12 Brandon R. Feng , Reetam Majumder , Brian J. Reich , Mohamed A. Abba

We train artificial neural networks to predict the physical properties of linear, single branched, and double branched alkanes. These neural networks can be trained from fragmented data, which enables us to use physical property information…

Computational Physics · Physics 2019-08-07 Pavao Santak , Gareth Conduit

In this paper we study the Szeged index of partial cubes and hence generalize the result proved by V. Chepoi and S. Klav\v{z}ar, who calculated this index for benzenoid systems. It is proved that the problem of calculating the Szeged index…

Combinatorics · Mathematics 2018-08-28 Matevz Crepnjak , Niko Tratnik

A common task is the determination of system parameters from spectroscopy, where one compares the experimental spectrum with calculated spectra, that depend on the desired parameters. Here we discuss an approach based on a machine learning…

Quantum Physics · Physics 2022-05-04 Farhad Taher-Ghahramani , Fulu Zheng , Alexander Eisfeld

Molecular property prediction (MPP) is a fundamental but challenging task in the computer-aided drug discovery process. More and more recent works employ different graph-based models for MPP, which have made considerable progress in…

Machine Learning · Computer Science 2023-12-29 Bangyi Zhao , Weixia Xu , Jihong Guan , Shuigeng Zhou

Recently, a novel two-phase framework named mol-infer for inference of chemical compounds with prescribed abstract structures and desired property values has been proposed. The framework mol-infer is primarily based on using mixed integer…

Machine Learning · Computer Science 2025-07-08 Jianshen Zhu , Naveed Ahmed Azam , Kazuya Haraguchi , Liang Zhao , Tatsuya Akutsu

The limited extrapolative power of structure-based machine learning (ML) models is a critical bottleneck in chemical discovery, particularly for industrial R&D, where navigating uncharted chemical space to find next-generation materials or…

We find simple saturated alcohols with the given number of carbon atoms and the minimal normal boiling point. The boiling point is predicted with a weighted sum of the generalized first Zagreb index, the second Zagreb index, the Wiener…

Combinatorics · Mathematics 2015-09-23 Mikhail Goubko , Oleg Miloserdov

The Gross-Pitaevskii equation and its generalisations to dissipative and dipolar gases have been very useful in describing dynamics of cold atomic gases, as well as polaritons and other nonlinear systems. For some of these applications the…

Quantum Gases · Physics 2025-07-03 Ryan J. J. Connor , Callum W. Duncan , Andrew J. Daley