On (k1A1, k2A2, k3A3)-Edge Colourings in Graphs and Generalized Jacobsthal Numbers

被引：0

作者：

Piejko, Krzysztof ^{[1
]}

Trojnar-Spelina, Lucyna ^{[1
]}

机构：

[1] Rzeszow Univ Technol, Fac Math & Appl Phys, A Powstancow Warszawy 12, PL-35959 Rzeszow, Poland

来源：

ANNALES MATHEMATICAE SILESIANAE | 2025年 / 39卷 / 02期

关键词：

Fibonacci numbers; Jacobsthal numbers; edge-coloured graphs; path; DISTANCE PELL NUMBERS; FIBONACCI;

D O I：

10.2478/amsil-2025-0006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 (k1A1, k2A2, k3A3)-edge colouring and quasi colouring.

引用

页码：331 / 348

页数：18

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