20.500.12556/DiRROS-18629 Generalized Pell graphs 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. Fibonacci cubes Pell graphs generating functions center of graph median graphs k-Fibonacci sequence Fibonaccijeve kocke Pellovi grafi rodovne funkcije center grafa medianski grafi k-Fibonaccijevo zaporedje true false true Angleški jezik Slovenski jezik Neznano 2024-04-08 10:25:37 2024-04-08 10:25:37 2024-04-09 03:40:10 0000-00-00 00:00:00 2023 0 0 str. 1955-1973 no. 7, [article no.] 9 Vol. 47 2023 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2023-01-01 519.17 1300-0098 10.55730/1300-0098.3475 179971075 Generalized_Pell_graphs-1.pdf Generalized_Pell_graphs-1.pdf 1 038DF474BD7ACE6A28276AB43E878E4F 45877094fa0ea4c751ae6a64d70e2664d6a48320e3c1d44709feb63bf69c7aee 74eb013c-f571-11ee-ae20-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=25430 https://journals.tubitak.gov.tr/math/vol47/iss7/9/ 1 d26a11ef-f570-11ee-ae20-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=25429 Inštitut za matematiko, fiziko in mehaniko 0 0 0