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What is Super Fibonacci Graceful Labeling about?

This document summarizes research on labeling graphs with Fibonacci sequences. The authors construct new types of graphs by combining basic graphs (e.g. fans, paths, cycles) and prove that the graphs are "super Fibonacci graceful," meaning there exists a labeling of the vertices with Fibonacci numbers such that the induced edge labels are distinct Fibonacci numbers. Specifically, the authors prove that graphs of the form Fn ⊕ K1,m, Cn ⊕ Pm, K1,n ⊘ K1,2, Fn ⊕ Pm, and Cn ⊕ K1,m are super Fibonacci graceful. T

Author

RyanElias

Language

EN