Research Article

A note on the cube polynomials of Fibonacci and Lucas-Run graphs

Published in: Quaestiones Mathematicae
Volume 48 , issue 12 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 1771–1780
DOI: 10.2989/16073606.2025.2546191
Author(s): Jianxin Wei School of Mathematics and Statistics Science, Ludong University, P.R. China,
Keywords: Primary: 05C75, Secondary: 68R10, Cube polynomial, Fibonacci-run graph, Lucas-run graph,
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Abstract

The cube polynomials of the Fibonacci-run graph and Lucas-run graph are determined, and a conjecture on the relation between them is proved. Note that Mollard (2025) [9] has considered deeply this question and obtained many general conclusions. Here we study this depending only on the decompositions of and .
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