Topological graphs: a review of some of our achievements and perspectives in physical chemistry and homogeneous catalysis

This paper reviews some of our developments in algorithmic graph theory, with some applications in physical chemistry and catalysis. Two levels of granularity in the topological graphs have been developed: atomistic 2D-MolGraphs and coarse-grained polygraphs of H-bonded cycles. These graphs have bee...

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Main Authors: Bougueroua, Sana, Aboulfath, Ylène, Cimas, Alvaro, Hashemi, Ali,  Pidko, Evgeny A., Barth, Dominique, Gaigeot, Marie-Pierre
Format: Article
Language:English
Published: Académie des sciences 2024-11-01
Series:Comptes Rendus. Chimie
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Online Access:https://comptes-rendus.academie-sciences.fr/chimie/articles/10.5802/crchim.317/
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author Bougueroua, Sana
Aboulfath, Ylène
Cimas, Alvaro
Hashemi, Ali
 Pidko, Evgeny A.
Barth, Dominique
Gaigeot, Marie-Pierre
author_facet Bougueroua, Sana
Aboulfath, Ylène
Cimas, Alvaro
Hashemi, Ali
 Pidko, Evgeny A.
Barth, Dominique
Gaigeot, Marie-Pierre
author_sort Bougueroua, Sana
collection DOAJ
description This paper reviews some of our developments in algorithmic graph theory, with some applications in physical chemistry and catalysis. Two levels of granularity in the topological graphs have been developed: atomistic 2D-MolGraphs and coarse-grained polygraphs of H-bonded cycles. These graphs have been implemented with the key algorithms of isomorphism and polymorphism, in order to analyze molecular dynamics simulations of complex molecular systems. These topological graphs are transferable without modification from “simple” gas molecules, to liquids, to more complex inhomogeneous interfaces between solid and liquid for instance. We show hereby that the use of algorithmic graph theory provides a direct and fast approach to identify the actual conformations sampled over time in a trajectory. Graphs of transitions can also be extracted, showing at first glance all the interconversions over time between these conformations. H-bond networks in condensed matter molecular systems such as aqueous interfaces are shown to be easily captured through the topological graphs. We also show how the 2D-MolGraphs can easily be included in automated high-throughput in silico reactivity workflows, and how essential they are in some of the decisive steps to be taken in these workflows. The coarse-grained polygraphs of H-bonded cycles are shown to be essential topological graphs to analyze the dynamics of flexible molecules such as a hexapeptide in gas phase.
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spelling doaj-art-a961302483414df986633f4033f053e62025-02-07T13:41:22ZengAcadémie des sciencesComptes Rendus. Chimie1878-15432024-11-0112310.5802/crchim.31710.5802/crchim.317Topological graphs: a review of some of our achievements and perspectives in physical chemistry and homogeneous catalysisBougueroua, Sana0https://orcid.org/0000-0002-0642-5275Aboulfath, Ylène1Cimas, Alvaro2https://orcid.org/0000-0001-8095-2279Hashemi, Ali3 Pidko, Evgeny A.4https://orcid.org/0000-0001-9242-9901Barth, Dominique5Gaigeot, Marie-Pierre6https://orcid.org/0000-0002-3409-5824Université Paris-Saclay, Univ Evry, CY Cergy Paris Université, CNRS, LAMBE UMR8587, 91025 Evry-Courcouronnes, FranceUniversité Paris-Saclay, Univ Versailles Saint Quentin, DAVID, 78035 Versailles, FranceUniversité Paris-Saclay, Univ Evry, CY Cergy Paris Université, CNRS, LAMBE UMR8587, 91025 Evry-Courcouronnes, FranceInorganic Systems Engineering, Department of Chemical Engineering, Faculty of Applied Sciences, Delft University of Technology, 2629 HZ Delft, The NetherlandsInorganic Systems Engineering, Department of Chemical Engineering, Faculty of Applied Sciences, Delft University of Technology, 2629 HZ Delft, The NetherlandsUniversité Paris-Saclay, Univ Versailles Saint Quentin, DAVID, 78035 Versailles, FranceInstitut Universitaire de France (IUF), 75005 Paris, France; Université Paris-Saclay, Univ Evry, CY Cergy Paris Université, CNRS, LAMBE UMR8587, 91025 Evry-Courcouronnes, FranceThis paper reviews some of our developments in algorithmic graph theory, with some applications in physical chemistry and catalysis. Two levels of granularity in the topological graphs have been developed: atomistic 2D-MolGraphs and coarse-grained polygraphs of H-bonded cycles. These graphs have been implemented with the key algorithms of isomorphism and polymorphism, in order to analyze molecular dynamics simulations of complex molecular systems. These topological graphs are transferable without modification from “simple” gas molecules, to liquids, to more complex inhomogeneous interfaces between solid and liquid for instance. We show hereby that the use of algorithmic graph theory provides a direct and fast approach to identify the actual conformations sampled over time in a trajectory. Graphs of transitions can also be extracted, showing at first glance all the interconversions over time between these conformations. H-bond networks in condensed matter molecular systems such as aqueous interfaces are shown to be easily captured through the topological graphs. We also show how the 2D-MolGraphs can easily be included in automated high-throughput in silico reactivity workflows, and how essential they are in some of the decisive steps to be taken in these workflows. The coarse-grained polygraphs of H-bonded cycles are shown to be essential topological graphs to analyze the dynamics of flexible molecules such as a hexapeptide in gas phase.https://comptes-rendus.academie-sciences.fr/chimie/articles/10.5802/crchim.317/Algorithmic graph theoryConformational searchMolecular dynamicsIdentification of conformersPathwaysReaction network
spellingShingle Bougueroua, Sana
Aboulfath, Ylène
Cimas, Alvaro
Hashemi, Ali
 Pidko, Evgeny A.
Barth, Dominique
Gaigeot, Marie-Pierre
Topological graphs: a review of some of our achievements and perspectives in physical chemistry and homogeneous catalysis
Comptes Rendus. Chimie
Algorithmic graph theory
Conformational search
Molecular dynamics
Identification of conformers
Pathways
Reaction network
title Topological graphs: a review of some of our achievements and perspectives in physical chemistry and homogeneous catalysis
title_full Topological graphs: a review of some of our achievements and perspectives in physical chemistry and homogeneous catalysis
title_fullStr Topological graphs: a review of some of our achievements and perspectives in physical chemistry and homogeneous catalysis
title_full_unstemmed Topological graphs: a review of some of our achievements and perspectives in physical chemistry and homogeneous catalysis
title_short Topological graphs: a review of some of our achievements and perspectives in physical chemistry and homogeneous catalysis
title_sort topological graphs a review of some of our achievements and perspectives in physical chemistry and homogeneous catalysis
topic Algorithmic graph theory
Conformational search
Molecular dynamics
Identification of conformers
Pathways
Reaction network
url https://comptes-rendus.academie-sciences.fr/chimie/articles/10.5802/crchim.317/
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