Generalized cut method for computing Szeged-like polynomials with applications to polyphenyls and carbon nanocones

Brezovnik, Simon; Tratnik, Niko

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Naslov:	Generalized cut method for computing Szeged-like polynomials with applications to polyphenyls and carbon nanocones
Avtorji:	ID Brezovnik, Simon (Avtor) ID Tratnik, Niko (Avtor)
Datoteke:	http://dx.doi.org/10.46793/match.90-2.401B
Jezik:	Angleški jezik
Vrsta gradiva:	Članek v reviji
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	FNM - Fakulteta za naravoslovje in matematiko
Opis:	Szeged, 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.
Ključne besede:	graph theory, carbon nanocone, topological indices
Leto izida:	2023
Št. strani:	str. 401-427
Številčenje:	ǂVol. ǂ90, ǂno. ǂ2
PID:	20.500.12556/DKUM-87692
UDK:	519.17
COBISS.SI-ID:	150208771
DOI:	10.46793/match.90-2.401B
ISSN pri članku:	0340-6253
Datum objave v DKUM:	25.03.2024
Število ogledov:	234
Število prenosov:	4
Metapodatki:
Področja:	Ostalo
:	BREZOVNIK, Simon in TRATNIK, Niko, 2023, Generalized cut method for computing Szeged-like polynomials with applications to polyphenyls and carbon nanocones. Match : communications in mathematical and in computer chemistry [na spletu]. 2023. Vol. 90, no. 2, p. 401–427. [Dostopano 6 april 2025]. DOI 10.46793/match.90-2.401B. Pridobljeno s: http://dx.doi.org/10.46793/match.90-2.401B Kopiraj citat

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Gradivo je del revije

Naslov:	Match : communications in mathematical and in computer chemistry
Skrajšan naslov:	Match
Založnik:	University of Kragujevac, Faculty of Science
ISSN:	0340-6253
COBISS.SI-ID:	2624551

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