Fibonacci numbers and Trivalent graphs
Cheng Lien Lang, Mong Lung Lang
TL;DR
This paper explores the relationship between Fibonacci and Lucas numbers through the lens of trivalent graphs and splitting fields, revealing new identities and structural insights.
Contribution
It introduces a novel approach to deriving Fibonacci and Lucas identities using trivalent graphs and algebraic field analysis.
Findings
New identities for Fibonacci and Lucas numbers
Graph-theoretic methods for number sequence analysis
Insights into algebraic structures related to Fibonacci numbers
Abstract
We study the Fibonacci and Lucas numbers and demonstrate how identities can be constructed by investigating trivalent graphs and splitting fields.
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Taxonomy
TopicsGraph theory and applications · Advanced Mathematical Theories and Applications · Graph Labeling and Dimension Problems