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General cut method for computing Szeged-like topological indices with applications to molecular graphsBrezovnik, Simon, 1992- ; Tratnik, NikoSzeged, 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 Szeged-like topological indices. In this paper, we formally introduce the concept of a general Szeged-like topological index, which includes all mentioned indices and also infinitely many other topological indices that can be defined in a similar way. As the main result of the paper, we provide a cut method for computing a general Szeged-like topological index for any strength-weighted graph. This greatly generalizes various methods known for some of the mentioned indices and therefore rounds off such investigations. Moreover, we provide applications of our main result to benzenoid systems, phenylenes, and coronoid systems, which are well-known families of molecular graphs. In particular, closed-form formulas for some subfamilies of these graphs are deduced.Source: International journal of quantum chemistry. - ISSN 0020-7608 (Vol. 121, iss. 6, Mar. 2021, str. 1-17)Type of material - article, component partPublish date - 2021Language - englishCOBISS.SI-ID - 36258307
Author
Brezovnik, Simon, 1992- |
Tratnik, Niko
Topics
benzenoid system |
coronoid system |
cut method |
quotient graph |
Szeged index |
PI index
Author | Brezovnik, Simon, 1992- ; Tratnik, Niko |
Title | General cut method for computing Szeged-like topological indices with applications to molecular graphs |
Publication date | 2020-11-06 |
COBISS.SI-ID | 36258307 |
Publication version in repository | Unidentified |
Publication licence | Unidentified |
Embargo | Unidentified |
Project(s) from which the publication was funded
Title | Acronym | Project ID | Funder |
---|---|---|---|
Teorija grafov | P1-0297-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Sodobne invariante grafov | J1-9109-2018 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
source: International journal of quantum chemistry. - ISSN 0020-7608 (Vol. 121, iss. 6, Mar. 2021, str. 1-17)
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Brezovnik, Simon, 1992- | 52103 |
Tratnik, Niko | 37537 |
Source: Personal bibliographies
and: SICRIS
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