Horadam-Lucas cubes

Tan, Elif (avtor), Podrug, Luka (avtor), Iršič Chenoweth, Vesna (avtor)

In this paper, we introduce a novel class of graphs referred to as the Horadam–Lucas cubes. This class extends the concept of Lucas cubes and retains numerous desirable properties associated with them. Horadam–Lucas cubes can also be viewed as a companion graph family of the Horadam cubes, in a similar way the Lucas cubes relate to Fibonacci cubes or the Lucas-run graphs relate to Fibonacci-run graphs. As special cases, they also give rise to new graph families, such as Pell–Lucas cubes and Jacobsthal–Lucas cubes. We derive the several metric and enumerative properties of these cubes, including their diameter, periphery, radius, fundamental decomposition, number of edges, cube polynomials, and generating function of the cube polynomials.

• Jezik: Angleški jezik
• Ključne besede: hypercubes, Lucas cubes, Horadam-Lucas sequence, Horadam-Lucas cubes, partial cubes
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Datum objave: 01.12.2024
• Leto izida: 2024
• Št. strani: 16 str.
• Številčenje: Vol. 13, iss. 12, [article no.] 837
• PID: 20.500.12556/RUL-166038
• UDK: 519.17
• ISSN pri članku: 2075-1680
• DOI: 10.3390/axioms13120837
• COBISS.SI-ID: 219677443
• Datum objave v RUL: 18.12.2024

Gradivo je del revije

• Naslov: Axioms
• Skrajšan naslov: Axioms
• Založnik: MDPI
• ISSN: 2075-1680
• COBISS.SI-ID: 519951897

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: hiperkocke, Lucasove kocke, Horadam-Lucasovo zaporedje, Horadam-Lucasove kocke, delne kocke