On Relationships of Eigenvalue–Based Topological Molecular Descriptors

Three eigenvalue-based topological molecular descriptors are compared using several datasets of alkanes. Two of them are well-known and frequently employed in various QSPR/QSAR investigations, and third-one is a newly derived whose predictive potential is yet to be proven. The relations among them a...

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Main Authors: Izudin Redžepović, Boris Furtula
Format: Article
Language:English
Published: Slovenian Chemical Society 2020-03-01
Series:Acta Chimica Slovenica
Subjects:
Online Access:https://journals.matheo.si/index.php/ACSi/article/view/5520
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author Izudin Redžepović
Boris Furtula
author_facet Izudin Redžepović
Boris Furtula
author_sort Izudin Redžepović
collection DOAJ
description Three eigenvalue-based topological molecular descriptors are compared using several datasets of alkanes. Two of them are well-known and frequently employed in various QSPR/QSAR investigations, and third-one is a newly derived whose predictive potential is yet to be proven. The relations among them are found and discussed. Structural parameters that govern these relations are identified and the corresponding formulas based on multiple linear regression have been obtained. It has been shown that all three investigated indices are encoding almost the same structural information of a molecule. They differ only by the extent of the sensitivity on a structural branching of a molecule and on the number of non-bonding molecular orbitals.
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spelling doaj.art-19e0f97e7018489bbb2f4835faa441c62022-12-22T03:50:20ZengSlovenian Chemical SocietyActa Chimica Slovenica1318-02071580-31552020-03-0167131231810.17344/acsi.2019.5520773On Relationships of Eigenvalue–Based Topological Molecular DescriptorsIzudin RedžepovićBoris FurtulaThree eigenvalue-based topological molecular descriptors are compared using several datasets of alkanes. Two of them are well-known and frequently employed in various QSPR/QSAR investigations, and third-one is a newly derived whose predictive potential is yet to be proven. The relations among them are found and discussed. Structural parameters that govern these relations are identified and the corresponding formulas based on multiple linear regression have been obtained. It has been shown that all three investigated indices are encoding almost the same structural information of a molecule. They differ only by the extent of the sensitivity on a structural branching of a molecule and on the number of non-bonding molecular orbitals.https://journals.matheo.si/index.php/ACSi/article/view/5520graph energyestrada indexresolvent energy of a grapheigenvaluesadjacency matrix
spellingShingle Izudin Redžepović
Boris Furtula
On Relationships of Eigenvalue–Based Topological Molecular Descriptors
Acta Chimica Slovenica
graph energy
estrada index
resolvent energy of a graph
eigenvalues
adjacency matrix
title On Relationships of Eigenvalue–Based Topological Molecular Descriptors
title_full On Relationships of Eigenvalue–Based Topological Molecular Descriptors
title_fullStr On Relationships of Eigenvalue–Based Topological Molecular Descriptors
title_full_unstemmed On Relationships of Eigenvalue–Based Topological Molecular Descriptors
title_short On Relationships of Eigenvalue–Based Topological Molecular Descriptors
title_sort on relationships of eigenvalue based topological molecular descriptors
topic graph energy
estrada index
resolvent energy of a graph
eigenvalues
adjacency matrix
url https://journals.matheo.si/index.php/ACSi/article/view/5520
work_keys_str_mv AT izudinredzepovic onrelationshipsofeigenvaluebasedtopologicalmoleculardescriptors
AT borisfurtula onrelationshipsofeigenvaluebasedtopologicalmoleculardescriptors