K. Anders

collaborators

4 papers

math.NT2026

Non-standard Zeckendorf decompositions; or, Tribonacci within Fibonacci

Katie Anders, Madeline L. Dawsey, Joseph Vandehey

We study $B (n; k)$ , the number of ways of writing $n$ as a sum or difference of the first $k$ Fibonacci numbers. We show that $B (0; k)$ 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 AltÄ±nok, Anders, Arreola, Asencio, Ireland, SarÄ±oÄlan, and Smith, focusing on the relationship between the structu…

math.CO2025

The wild number of an edge-colored graph

Katie Anders, Briana Foster-Greenwood, Rebecca Garcia +1

We introduce the wild number of an edge-colored graph as a measure of how close an edge-colored graph is to having a spanning tree in every color. This combinatorial concept origin…

math.NT2025

Non-standard quaternary representations and the Fibonacci numbers

Katie Anders, Madeline L. Dawsey, Rajat Gupta +2

Let $f_{4} (n)$ be the number of hyperquaternary representations of $n$ and $b_{4} (n)$ be the number of balanced quaternary representations of $n$ . We show that there is no integer $k$ …