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Distance partition vectors and distance based indices of $(5,0)$-nanotubes
ID Andova, Vesna (Author), ID Knor, Martin (Author), ID Majstorović Ergotić, Snježana (Author), ID Škrekovski, Riste (Author)

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Abstract
In this paper, we calculate the eccentricities and the distance vectors of all vertices of the $(5,0)$-nanotubes. Building on these computations, we further determine several important distance-based topological indices associated with these nanotubes. Specifically, we investigate the eccentric connectivity index, eccentric adjacency index, first and second eccentric connectivity indices, Wiener index, generalized Wiener index, generalized Wiener polarity index, hyper- Wiener index, and reciprocal complementary Wiener index. These indices are instrumental in characterizing the structural and connectivity attributes of nanotubes, offering significant insights into their topological properties. The arguments from this paper could be readily adapted to obtain similar results for $(6,0)$-nanotubes.

Language:English
Keywords:(5, 0)-nanotubes, topological indices, connectivity index, Wiener index
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Publication status:Published
Publication version:Version of Record
Publication date:01.01.2026
Year:2026
Number of pages:Str. 647-668
Numbering:Vol. 96, iss. 2
PID:20.500.12556/RUL-182184 This link opens in a new window
UDC:519.17
ISSN on article:3009-4399
DOI:10.46793/match.96-2.11525 This link opens in a new window
COBISS.SI-ID:276689923 This link opens in a new window
Publication date in RUL:29.04.2026
Views:217
Downloads:93
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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 This link opens in a new window

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

Language:Slovenian
Keywords:(5, 0)-nanocevke, topološke lastnosti, Wienerjev indeks

Projects

Funder:HRZZ - Croatian Science Foundation
Funding programme:Croatian Science Foundation (CSF)
Project number:IP-2024-05-2130
Name:Metric properties of Graphs

Funder:Other - Other funder or multiple funders
Funding programme:VEGA - Scientific Grant Agency of the Ministry of Education, Science, Research and Sport of the Slovak Republic and Slovak Academy of Sciences
Project number:APVV-22-0005
Name:Regulárne mapy: konštrukcie a klasifikácia

Funder:Other - Other funder or multiple funders
Funding programme:Slovak Research and Development Agency
Project number:APVV-23-0076
Name:Exceptional Structures in Descrete Mathematics: Properties, Constructions and Classifications

Funder:Other - Other funder or multiple funders
Funding programme:VEGA - Scientific Grant Agency of the Ministry of Education, Science, Research and Sport of the Slovak Republic and Slovak Academy of Sciences
Project number:1/0069/23
Name:Grafy, mapy a dizajny s vysokým stupňom symetrie

Funder:Other - Other funder or multiple funders
Funding programme:VEGA - Scientific Grant Agency of the Ministry of Education, Science, Research and Sport of the Slovak Republic and Slovak Academy of Sciences
Project number:1/0011/25
Name:Problémy teórie grafov súvisiace so vzdialenosťou
Acronym:1/0011/25

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0383
Name:Kompleksna omrežja

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:BI-HR/25-27-004-2025
Name:Barvanja in razdalje v grafih

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-4351
Name:Generiranje, analiza in katalogizacija simetričnih grafov

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