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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 be the number of hyperquaternary representations of and be the number of balanced quaternary representations of . We show that there is no integer …