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math.CO2026
Schuttes property for sets of tournaments and an application to dice games
Joel Jeffries
A tournament has Schuttes property if for every set of vertices, there is a vertex which dominates the set. In 1963, Erdos provided bounds for , the smallest order…
math.CO2026
Enumerating Prime Patterns in Juggling Variations
Steve Butler, Vera Choi, Joel Jeffries +3
Juggling patterns can be mathematically modeled as closed walks within directed state graphs. In this paper, we present a unified framework of unbounded juggling patterns and its v…
math.CO2022
Complements of coalescing sets
Steve Butler, Elena D'Avanzo, Rachel Heikkinen +3
We consider matrices of the form , with being the diagonal matrix of degrees, being the adjacency matrix, and a fixed value. Given a graph and $B\subseteq V(G…