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On metric dimensions of hypercubesKelenc, Aleksander ...V članku dokažemo dva nepričakovana rezultata, ki se nanašata na metrične, povezavne metrične in mešane metrične dimenzije grafov hiperkock. Kot prvo, dokažemo, da se metrična in povezavna metrična ... dimenzija hiperkocke ▫$Q_d$▫ razlikujeta največ za ena, in to pri vsakem celem številu ▫$d$▫. Še posebej, če je ▫$d$▫ liho število, potem sta metrična in povezavna metrična dimenzija dane hiperkocke ▫$Q_d$▫ enaki. Kot drugo, dokažemo, da sta metrična in mešana metrična dimenzija dane hiperkocke ▫$Q_d$▫ enaki, kar velja za vsak ▫$d \ge 3$▫. Članek zaključimo z domnevo, da so vse te tri vrste metrične dimenzije dane hiperkocke ▫$Q_d$▫ enake, če je d dovolj velik.Source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 23, no. 2, 2023, art. P2.08 (9 str.))Type of material - article, component part ; adult, seriousPublish date - 2023Language - englishCOBISS.SI-ID - 140460291
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Author | Kelenc, Aleksander ... |
Title | On metric dimensions of hypercubes |
Publication date | 2022-12-02 |
COBISS.SI-ID | 140460291 |
Publication version in repository | Publisher's version |
Publication licence | Creative Commons Attribution 4.0 International |
Embargo | Immediate publication for public |
Project(s) from which the publication was funded
Title | Acronym | Project ID | Funder |
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Sodobni in novi metrični koncepti v teoriji grafov | J1-1693-2019 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Strukturni, optimizacijski in algoritmični problemi v geometrijskih in topoloških predstavitvah grafov | J1-2452-2020 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Kompleksna omrežja | P1-0383-2017 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Prirejanja in barvanja povezav v kubičnih grafih | J1-3002-2021 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Kelenc, Aleksander | 37839 |
Masa Toshi, Aoden Teo | ![]() |
Škrekovski, Riste | 15518 |
Yero, Ismael G. | ![]() |
Source: Personal bibliographies
and: SICRIS
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