20.500.12556/RUP-22021 Horadam cubes Horadamove kocke We define and investigate a new three-parameter family of graphs that further generalizes the Fibonacci and metallic cubes. Namely, the number of vertices in this family of graphs satisfies Horadam recurrence, a linear recurrence of second order with constant coefficients. It is shown that the new family preserves many appealing and useful properties of the Fibonacci and metallic cubes. In particular, we present recursive decomposition and decomposition into grids and explore some metric and enumerative properties such as the number of edges, distribution of degrees, and cube polynomials. We also investigate the existence of Hamiltonian paths and cycles. hypercube Fibonacci cube metallic cube Horadam's recurrence hiperkocka Fibonaccijeva kocka kovinska kocka Horadamova rekurzija true false true Založba Univerze na Primorskem Angleški jezik Slovenski jezik Članek v reviji 2025-10-22 22:22:15 2025-10-22 22:22:15 2025-11-15 03:03:11 0000-00-00 00:00:00 2025 0 0 25 str. no. 4, [article no.] P4.08 Vol. 25 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-10-14 51 1855-3974 https://doi.org/10.26493/1855-3974.3328.2ca AMC_Podrug_2025.pdf AMC_Podrug_2025.pdf 1 AC189145CC0CC1E0F8317038DBC383BD 6a2dfb86ee1ac3fe2f98a369daf2faa4622be18e8a56ac5df8b57b52f5036152 6e665fed-af85-11f0-8f0b-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=31956 Založba Univerze na Primorskem 0 0 0