On ( k 1 A 1 , k 2 A 2 , k 3 A 3 )-Edge Colourings in Graphs and Generalized Jacobsthal Numbers
Year: 2025
Type: article
Abstract: In this paper we introduce a new kind of generalized Jacobsthal numbers in a distance sense. We give the identities and matrix representations for them and their connections with the Fibonacci and the Pell numbers. We also describe the interpretations of these numbers in terms of some kind of ( k 1 A 1 , k 2 A 2 , k 3 A 3 )-edge colouring and quasi colouring.
Source: Annales Mathematicae Silesianae
Authors: Krzysztof Piejko, Lucyna Trojnar-Spelina
Institution: Rzeszów University of Technology
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409838552