Edge general position sets in Fibonacci and Lucas cubes

Klavžar, Sandi (author), Tan, Elif (author)

A set of edges $X\subseteq E(G)$ of a graph $G$ is an edge general position set if no three edges from $X$ lie on a common shortest path in $G$. The cardinality of a largest edge general position set of $G$ is the edge general position number of $G$. In this paper edge general position sets are investigated in partial cubes. In particular it is proved that the union of two largest $\Theta$-classes of a Fibonacci cube or a Lucas cube is a maximal edge general position set.

• Language: English
• Keywords: general position set, edge general position sets, partial cubes, Fibonacci cubes, Lucas cubes
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2023
• Number of pages: 11 str.
• Numbering: Vol. 46, iss. 4, art. 120
• PID: 20.500.12556/RUL-148030
• UDC: 519.17
• ISSN on article: 0126-6705
• DOI: 10.1007/s40840-023-01517-y
• COBISS.SI-ID: 152529667
• Publication date in RUL: 26.07.2023

Record is a part of a journal

• Title: Bulletin of the Malaysian Mathematical Sciences Society
• Shortened title: Bull. Malays. Math. Sci. Soc.
• Publisher: Springer Nature, Malaysian Mathematical Sciences Society, Penerbit Universiti Sains Malaysia
• ISSN: 0126-6705
• COBISS.SI-ID: 515781657

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: množica v splošni legi, množice povezav v splošni legi, delne kocke, Fibonaccijeve kocke, Lucasove kocke