Analysis demonstrates the relationship between cube polynomials in Fibonacci-run and Lucas-run graphs, suggesting a mathematical connection.
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 .
No takes yet. Share an insight, caveat, or question.
Jianxin Wei (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: