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math.CO2018
A Construction for Difference Sets with Local Properties
Sara Fish, Ben Lund, Adam Sheffer
We construct finite sets of real numbers that have a small difference set and strong local properties. In particular, we construct a set of real numbers such that $|A-A|=n^…
math.CO2018
Local Properties via Color Energy Graphs and Forbidden Configurations
Sara Fish, Cosmin Pohoata, Adam Sheffer
The local properties problem of Erdős and Shelah generalizes many Ramsey problems and some distinct distances problems. In this work, we derive a variety of new bounds for the loca…