| Naslov: | Generalized Pell graphs |
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| Avtorji: | ID Iršič, Vesna (Avtor)
ID Klavžar, Sandi (Avtor)
ID Tan, Elif (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (345,71 KB)
MD5: 038DF474BD7ACE6A28276AB43E878E4F
 URL - Izvorni URL, za dostop obiščite https://journals.tubitak.gov.tr/math/vol47/iss7/9/
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | In this paper, generalized Pell graphs $\Pi_{n,k}$, $k\ge 2$, are introduced. The special case of $k=2$ are the Pell graphs $\Pi_{n}$ defined earlier by Munarini. Several metric, enumerative, and structural properties of these graphs are established. The generating function of the number of edges of $\Pi_{n,k}$ and the generating function of its cube polynomial are determined. The center of $\Pi_{n,k}$ is explicitly described; if $k$ is even, then it induces the Fibonacci cube $\Gamma_{n}$. It is also shown that $\Pi_{n,k}$ is a median graph, and that $\Pi_{n,k}$ embeds into a Fibonacci cube. |
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| Ključne besede: | Fibonacci cubes, Pell graphs, generating functions, center of graph, median graphs, k-Fibonacci sequence |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.01.2023 |
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| Leto izida: | 2023 |
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| Št. strani: | str. 1955-1973 |
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| Številčenje: | Vol. 47, no. 7, [article no.] 9 |
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| PID: | 20.500.12556/DiRROS-18629  |
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| UDK: | 519.17 |
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| ISSN pri članku: | 1300-0098 |
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| DOI: | 10.55730/1300-0098.3475 |
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| COBISS.SI-ID: | 179971075 |
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| Datum objave v DiRROS: | 08.04.2024 |
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| Število ogledov: | 505 |
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| Število prenosov: | 213 |
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| Metapodatki: |    |
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