3 papers
math.CO2026
Small -kernels in digraphs with minimum in-degree
Geoffrey Boyer, Matt Burnham, Daniela Äerná +5
For a digraph , a subset is called a -kernel if is an independent set and all vertices in are reachable from via a directed path of length at…
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…