16 citations · 37 across the 11 of their papers we have counts for
6 papers · 1 filter
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…
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…
Jumps in speeds of hereditary properties in finite relational languages
Michael C. Laskowski, Caroline A. Terry
Given a finite relational language , a hereditary -property is a class of finite -structures closed under isomorphism and substructure. The s…
Extremal theory of locally sparse multigraphs
Dhruv Mubayi, Caroline Terry
An -graph is an -vertex multigraph where every set of vertices spans at most edges. In this paper, we determine the maximum product of the edge multiplicities i…
An extremal graph problem with a transcendental solution
Dhruv Mubayi, Caroline Terry
We prove that the number of multigraphs with vertex set such that every four vertices span at most nine edges is where is transcendental (…
Discrete metric spaces: structure, enumeration, and - laws
Dhruv Mubayi, Caroline Terry
Fix an integer . We consider metric spaces on points such that the distance between any two points lies in . Our main result describes their approximate…