| Title: | Distance formula for direct-co-direct product in the case of disconnected factors |
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| Authors: | ID Kelenc, Aleksander (Author)
ID Peterin, Iztok (Author) |
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| Files: |  adam_1508.pdf (449,36 KB)
MD5: DC46051894A79FA1C2B64354F67CA29D
 https://adam-journal.eu/index.php/ADAM/article/view/1508
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FERI - Faculty of Electrical Engineering and Computer Science
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| Abstract: | Direktni-ko-direktni produkt ▫$G\circledast H$▫ grafov ▫$G$▫ in ▫$H$▫ je graf na množizi vozlišč ▫$V(G)\times V(H)$▫. Vozlišči ▫$(g,h)$▫ in ▫$(g',h')$▫ sta sosednji, če je ▫$gg'\in E(G)$▫ in ▫$hh'\in E(H)$▫ ali ▫$gg'\notin E(G)$▫ in ▫$hh'\notin E(H)$▫. Naj bo največ eden izmed faktorjev ▫$G$▫ in ▫$H$▫ povezan. Pokažemo da je razdalja med dvema vozliščema v ▫$G\circledast H$▫ omejena s tri, razen v majhnem številu izjem. Vse izjeme so natančno popisane, kar prinese razdaljno formulo za ▫$G\circledast H$▫. |
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| Keywords: | direktni-ko-direktni produkt, razdalja, ekscentričnost, nepovezan graf, direct-co-direct product, distance, eccentricity, disconnected graphs |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 21.11.2021 |
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| Article acceptance date: | 25.09.2022 |
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| Publication date: | 04.01.2023 |
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| Publisher: | Fakulteta za matematiko, naravoslovje in informacijske tehnologije |
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| Year of publishing: | 2023 |
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| Number of pages: | art. P2.13 (21 str.) |
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| Numbering: | ǂVol. ǂ6, ǂno. ǂ2 |
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| PID: | 20.500.12556/DKUM-87584  |
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| UDC: | 519.17 |
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| ISSN on article: | 2590-9770 |
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| COBISS.SI-ID: | 136454915 |
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| DOI: | 10.26493/2590-9770.1508.8b5 |
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| Publication date in DKUM: | 21.05.2024 |
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| Views: | 239 |
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| Downloads: | 24 |
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| Metadata: |    |
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| Categories: | Misc.
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