4 citations · 11 across the 16 of their papers we have counts for
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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…
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…
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…
Algebraic Sunflowers
Nathanael Ackerman, Mostafa Mirabi
We study sunflowers within the context of finitely generated substructures of ultrahomogeneous structures. In particular, we look at bounds on how large a set system is needed to g…