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math.CO2025
Generic sampling and invariant measures on the space of -uniform hypergraphs
Nathanael Ackerman, Cameron Freer, Kyle Gannon +2
We prove a model-theoretic representation theorem for the distribution of an ergodic exchangeable -uniform hypergraph: every such measure arises as the pushforward of the counta…
math.CO2025
Structured Sunflowers
Nathanael Ackerman, Mary Leah Karker, Mostafa Mirabi
We call an infinite structure sunflowerable if whenever is isomorphic to with underlying set , consisting of finite sets of bounded s…
math.CO2025
Rainbow Threshold Graphs
Nathanael Ackerman, Mostafa Mirabi
We define a generalization of threshold graphs which we call -rainbow threshold graphs. We show that the collection of -rainbow threshold graphs do not satisfy the - la…