| Naslov: | Zhang-Zhang polynomials of phenylenes and benzenoid graphs |
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| Avtorji: | ID Tratnik, Niko (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (487,12 KB)
MD5: 369E9EA656275BA3C08A32CA63286874
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | The aim of this paper is to study some variations of the Zhang-Zhang polynomial for phenylenes, which can be obtained as special cases of the multivariable Zhang-Zhang polynomial. Firstly, we prove the equality between the first Zhang-Zhang polynomial of a phenylene and the generalized Zhang-Zhang polynomial of some benzenoid graph, which enables us to prove also the equality between the first Zhang-Zhang polynomial and the generalized cube polynomial of the resonance graph. Next, some results on the roots of the second Zhang-Zhang polynomial of phenylenes are provided and another expression for this polynomial is established. Finally, we give structural interpretation for (partial) derivatives of different Zhang-Zhang polynomials. |
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| Ključne besede: | graph theory, resonance graphs, polynomials |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.01.2024 |
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| Leto izida: | 2024 |
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| Št. strani: | str. 25-53 |
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| Številčenje: | Vol. 92, no. 1 |
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| PID: | 20.500.12556/DiRROS-18442  |
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| UDK: | 519.17 |
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| ISSN pri članku: | 3009-4399 |
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| DOI: | 10.46793/match.92-1.025T |
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| COBISS.SI-ID: | 185502723 |
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| Datum objave v DiRROS: | 18.03.2024 |
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| Število ogledov: | 88 |
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| Število prenosov: | 35 |
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| Metapodatki: |     |
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