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Title:The Möbius-Kantor graph is a faithful unit-distance graph
Authors:ID Bašić, Nino (Author)
ID Gévay, Gábor (Author)
ID Pisanski, Tomaž (Author)
Files: This document has no files. This document may have a physical copy in the library of the organization, check the status via COBISS. Link is opened in a new window
Language:English
Work type:Unknown
Typology:1.01 - Original Scientific Article
Organization:FAMNIT - Faculty of Mathematics, Science and Information Technologies
Abstract:In this paper, it has been shown that the generalized Petersen graph GP(8, 3), also known as the Möbius-Kantor graph, admits a faithful unit-distance representation in the plane.
Keywords:polycirculant, unit-distance graph, Möbius–Kantor graph, generalized Petersen graph
Publication version:Version of Record
Publication date:01.01.2026
Year of publishing:2026
Number of pages:str. 1-6
Numbering:Vol. 9, no. 2
PID:20.500.12556/RUP-23577 This link opens in a new window
UDC:519.17
ISSN on article:2590-9770
DOI:10.26493/2590-9770.1914.42a This link opens in a new window
COBISS.SI-ID:258543107 This link opens in a new window
Publication date in RUP:08.09.2026
Views:47
Downloads:0
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Record is a part of a journal

Title:The art of discrete and applied mathematics
Publisher:Fakulteta za matematiko, naravoslovje in informacijske tehnologije
ISSN:2590-9770
COBISS.SI-ID:290758912 This link opens in a new window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0294-2020
Name:Računsko intenzivne metode v teoretičnem računalništvu, diskretni matematiki, kombinatorični optimizaciji ter numerični analizi in algebri z uporabo v naravoslovju in družboslovju

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J5-4596-2022
Name:Višjestopenjske bibliografske storitve

Funder:Other - Other funder or multiple funders
Project number:3350-23-3505
Name:Development of basic computer science and information technology content and skills in kindergartens and primary schools
Acronym:B-RIN

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-4351-2022
Name:Generiranje, analiza in katalogizacija simetričnih grafov

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:BI-HR/23-24-012-2023
Name:Sinergetske aplikacije novejših metod teorije načrtov, konfiguracij, grafov in grup

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
Title:Möbius–Kantorjev graf jezvest enotsko-razdalji graf
Abstract:V temˇclanku je bilo dokazano, da posplošeni Petersenov grafGP(8,3), znan tudi kotMöbius–Kantorjev graf, dopušˇca zvesto enotsko-razdaljno upodobitev v ravnini.
Keywords:policirkulant, zvest graf z enotsko razdaljo, Möbius–Kantorjev graf, posplošeni Petersenov graf


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