| Naslov: | Zhang-Zhang polynomials of phenylenes and benzenoid graphs |
|---|
| Avtorji: | ID Tratnik, Niko (Avtor) |
|---|
| Datoteke: |  PDF - Predstavitvena datoteka, prenos (487,12 KB)
MD5: 369E9EA656275BA3C08A32CA63286874
|
|---|
| Jezik: | Angleški jezik |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
|
|---|
| 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. |
|---|
| Ključne besede: | graph theory, resonance graphs, polynomials |
|---|
| Status publikacije: | Objavljeno |
|---|
| Verzija publikacije: | Objavljena publikacija |
|---|
| Datum objave: | 01.01.2024 |
|---|
| Leto izida: | 2024 |
|---|
| Št. strani: | str. 25-53 |
|---|
| Številčenje: | Vol. 92, no. 1 |
|---|
| PID: | 20.500.12556/DiRROS-18442  |
|---|
| UDK: | 519.17 |
|---|
| ISSN pri članku: | 3009-4399 |
|---|
| DOI: | 10.46793/match.92-1.025T |
|---|
| COBISS.SI-ID: | 185502723 |
|---|
| Datum objave v DiRROS: | 18.03.2024 |
|---|
| Število ogledov: | 453 |
|---|
| Število prenosov: | 178 |
|---|
| Metapodatki: |    |
|---|
|
:
|
Kopiraj citat |
|---|
| | | | Objavi na: |  |
|---|
Postavite miškin kazalec na naslov za izpis povzetka. Klik na naslov izpiše
podrobnosti ali sproži prenos. |
