| Title: | Generalized Pell graphs |
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| Authors: | ID Iršič, Vesna (Author)
ID Klavžar, Sandi (Author)
ID Tan, Elif (Author) |
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| Files: |  PDF - Presentation file, download (345,71 KB)
MD5: 038DF474BD7ACE6A28276AB43E878E4F
 URL - Source URL, visit https://journals.tubitak.gov.tr/math/vol47/iss7/9/
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | 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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| Keywords: | Fibonacci cubes, Pell graphs, generating functions, center of graph, median graphs, k-Fibonacci sequence |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2023 |
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| Year of publishing: | 2023 |
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| Number of pages: | str. 1955-1973 |
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| Numbering: | Vol. 47, no. 7, [article no.] 9 |
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| PID: | 20.500.12556/DiRROS-18629  |
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| UDC: | 519.17 |
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| ISSN on article: | 1300-0098 |
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| DOI: | 10.55730/1300-0098.3475 |
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| COBISS.SI-ID: | 179971075 |
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| Publication date in DiRROS: | 08.04.2024 |
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| Views: | 507 |
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| Downloads: | 215 |
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| Metadata: |    |
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