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Title:Selected topics on Wiener index
Authors:ID Knor, Martin (Author)
ID Škrekovski, Riste (Author)
ID Tepeh, Aleksandra (Author)
Files:.pdf PDF - Presentation file, download (519,71 KB)
MD5: C1C73DBE2D36E22E385D7E8FE68E68FA
 
URL URL - Source URL, visit https://amc-journal.eu/index.php/amc/article/view/3077
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
Abstract:The Wiener index is defined as the sum of distances between all unordered pairs of vertices in a graph. It is one of the most recognized and well-researched topological indices, which is on the other hand still a very active area of research. This work presents a natural continuation of the paper Mathematical aspects of Wiener index (Ars Math. Contemp., 2016) in which several interesting open questions on the topic were outlined. Here we collect answers gathered so far, give further insights on the topic of extremal values of Wiener index in different settings, and present further intriguing problems and conjectures.
Keywords:graph distance, Wiener index, average distance, topological index, molecular descriptor, chemical graph theory
Publication status:Published
Publication version:Version of Record
Publication date:01.01.2024
Year of publishing:2024
Number of pages:31 str.
Numbering:Vol. 24, no. 4, article no. P4.07
PID:20.500.12556/DiRROS-20853 New window
UDC:519.17
ISSN on article:1855-3974
DOI:10.26493/1855-3974.3077.63a New window
COBISS.SI-ID:204508931 New window
Note:
Publication date in DiRROS:20.11.2024
Views:24
Downloads:10
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Record is a part of a journal

Title:Ars mathematica contemporanea
Publisher:Univerza na Primorskem
ISSN:1855-3974
COBISS.SI-ID:239051776 New window

Document is financed by a project

Funder:ARRS - Slovenian Research Agency
Project number:P1-0383
Name:Kompleksna omrežja

Funder:ARRS - Slovenian Research Agency
Project number:J1-1692
Name:Barvanja, dekompozicije in pokritja grafov

Funder:Other - Other funder or multiple funders
Funding programme:Slovak Research and Development Agency
Project number:VEGA 1/0567/22

Funder:Other - Other funder or multiple funders
Funding programme:Slovak Research and Development Agency
Project number:VEGA 1/0069/23

Funder:Other - Other funder or multiple funders
Funding programme:Slovak Research and Development Agency
Project number:APVV–22–0005

Funder:Other - Other funder or multiple funders
Funding programme:Slovak Research and Development Agency
Project number:APVV–23–0076

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:razdalja v grafu, Wienerjev indeks, topološki indeks, kemijska teorija grafov


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