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Title:Zhang-Zhang polynomials of phenylenes and benzenoid graphs
Authors:ID Tratnik, Niko (Author)
Files:.pdf PDF - Presentation file, download (487,12 KB)
MD5: 369E9EA656275BA3C08A32CA63286874
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
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.
Keywords:graph theory, resonance graphs, polynomials
Publication status:Published
Publication version:Version of Record
Publication date:01.01.2024
Year of publishing:2024
Number of pages:str. 25-53
Numbering:Vol. 92, no. 1
PID:20.500.12556/DiRROS-18442 New window
UDC:519.17
ISSN on article:3009-4399
DOI:10.46793/match.92-1.025T New window
COBISS.SI-ID:185502723 New window
Publication date in DiRROS:18.03.2024
Views:454
Downloads:178
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Record is a part of a journal

Title:Match
Shortened title:Match
Publisher:Faculty of Science, University of Kragujevac
ISSN:3009-4399
COBISS.SI-ID:186294787 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Funding programme:Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Project number:P1-0297-2022
Name:Teorija grafov

Funder:ARIS - Slovenian Research and Innovation Agency
Funding programme:Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Project number:N1-0285-2023
Name:Metrični problemi v grafih in hipergrafih

Secondary language

Language:Slovenian
Keywords:teorija grafov, resonančni grafi, polinomi


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