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math.NT2026
Non-standard Zeckendorf decompositions; or, Tribonacci within Fibonacci
Katie Anders, Madeline L. Dawsey, Joseph Vandehey
We study , the number of ways of writing as a sum or difference of the first Fibonacci numbers. We show that satisfies the Tribonacci-like recurrence $B(0;…
math.CO2026
Structural properties of graphs and the Universal Difference Property
Katie Anders, Able Martinez, Patrick McHugh +2
We study the Universal Difference Property (UDP) introduced by Altınok, Anders, Arreola, Asencio, Ireland, Sarıoğlan, and Smith, focusing on the relationship between the structural…