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Generalized cut method for computing Szeged-like polynomials with applications to polyphenyls and carbon nanoconesBrezovnik, Simon, 1992- ; Tratnik, NikoSzeged, Padmakar-Ivan (PI), and Mostar indices are some of the most investigated distance-based Szeged-like topological indices. On the other hand, the polynomials related to these topological ... indices were also introduced, for example the Szeged polynomial, the edge- Szeged polynomial, the PI polynomial, the Mostar polynomial, etc. In this paper, we introduce a concept of the general Szeged-like polynomial for a connected strength-weighted graph. It turns out that this concept includes all the above mentioned polynomials and also infinitely many other graph polynomials. As the main result of the paper, we prove a cut method which enables us to efficiently calculate a Szeged-like polynomial by using the corresponding polynomials of strength-weighted quotient graphs obtained by a partition of the edge set that is coarser than ▫$\Theta^*$▫-partition. To the best of our knowledge, this represents the first implementation of the famous cut method to graph polynomials. Finally, we show how the deduced cut method can be applied to calculate some Szeged-like polynomials and corresponding topological indices of para-polyphenyl chains and carbon nanocones.Source: Match : communications in mathematical and in computer chemistry. - ISSN 0340-6253 (Vol. 90, no. 2, 2023, str. 401-427)Type of material - article, component part ; adult, seriousPublish date - 2023Language - englishCOBISS.SI-ID - 150208771
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Author | Brezovnik, Simon, 1992- ; Tratnik, Niko |
Title | Generalized cut method for computing Szeged-like polynomials with applications to polyphenyls and carbon nanocones |
Publication date | 2023-01-01 |
COBISS.SI-ID | 150208771 |
Publication version in repository | Publisher's version |
Publication licence | Unidentified |
Embargo | Immediate publication for public |
Project(s) from which the publication was funded
Title | Acronym | Project ID | Funder |
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Računalniška knjižnica za zavozlane strukture in aplikacije | J1-4031-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Teorija grafov | P1-0297-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Metrični problemi v grafih in hipergrafih | N1-0285-2023 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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source: Match : communications in mathematical and in computer chemistry. - ISSN 0340-6253 (Vol. 90, no. 2, 2023, str. 401-427)
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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
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