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math.CO2026
Encoding orders and trees in real-valued functions
G Conant, C Terry
We prove function-theoretic analogues of a quantitative result of Hodges on extracting the order property from a sufficiently large 2-tree coded in a binary relation. Similar analo…
math.CO2025
Higher-order generalizations of stability and arithmetic regularity
C. Terry, J. Wolf
We define a natural notion of higher order stability and show that subsets of that are tame in this sense can be approximately described by a union of low-complexi…
math.CO2025
Irregular triads in 3-uniform hypergraphs
C. Terry, J. Wolf
Over the past several years, numerous authors have explored model theoretically motivated combinatorial conditions that ensure that a graph has an efficient regular decomposition i…