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Generalized Pell graphsIršič, Vesna, 1993- ; Klavžar, Sandi ; Tan, ElifV tem članku so predstavljeni posplošeni Pellovi grafi ▫$\Pi_{n,k}$▫, ▫$k\ge 2$▫. Poseben primer ▫$k=2$▫ so Pellovi grafi ▫$\Pi_{n}$▫, ki jih je prej definiral Munarini. Ugotovljenih je več ... metričnih, preštevalnih in strukturnih lastnosti teh grafov. Določeni sta rodovna funkcija števila povezav ▫$\Pi_{n,k}$▫ in rodovna funkcija njegovega polinoma kock. Eksplicitno je določen center ▫$\Pi_{n,k}$▫; če je ▫$k$▫ sodo število, potem inducira Fibonaccijevo kocko ▫$\Gamma_{n}$▫. Pokazano je tudi, da je ▫$\Pi_{n,k}$▫ medianski graf in da lahko ▫$\Pi_{n,k}$▫ vložimo v Fibonaccijevo kocko.Source: Turkish journal of mathematics. - ISSN 1300-0098 (Vol. 47, no. 7, [article no.] 9, 2023, str. 1955-1973)Type of material - article, component part ; adult, seriousPublish date - 2023Language - englishCOBISS.SI-ID - 179971075
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Author | Iršič, Vesna, 1993- ; Klavžar, Sandi ; Tan, Elif |
Title | Generalized Pell graphs |
Publication date | 2023-09-11 |
COBISS.SI-ID | 179971075 |
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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Teorija grafov | P1-0297-2022 |
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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Metrični problemi v grafih in hipergrafih | N1-0285-2023 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Igra policajev in roparja na grafih in geodetskih prostorih | Z1-50003-2023 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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KARST: Predicting flow and transport in complex Karst systems | KARST | 101071836 |
European Commission |
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source: Turkish journal of mathematics. - ISSN 1300-0098 (Vol. 47, no. 7, [article no.] 9, 2023, str. 1955-1973)
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Database name | Field | Year |
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Iršič, Vesna, 1993- | 50518 |
Klavžar, Sandi | 05949 |
Tan, Elif | ![]() |
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