| Title: | Zhang-Zhang polynomials of phenylenes and benzenoid graphs |
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| Authors: | ID Tratnik, Niko (Author) |
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| Files: |  PDF - Presentation file, download (487,12 KB)
MD5: 369E9EA656275BA3C08A32CA63286874
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | 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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| Keywords: | graph theory, resonance graphs, polynomials |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 25-53 |
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| Numbering: | Vol. 92, no. 1 |
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| PID: | 20.500.12556/DiRROS-18442  |
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| UDC: | 519.17 |
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| ISSN on article: | 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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| Publication date in DiRROS: | 18.03.2024 |
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| Views: | 105 |
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| Downloads: | 36 |
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