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math.CO2019
Characterizing optimal point sets determining one distinct triangle
Hazel N. Brenner, James S. Depret-Guillaume, Eyvindur A. Palsson +1
In this paper we determine the maximum number of points in which form exactly distinct triangles, where we restrict ourselves to the case of . We denote t…
math.CO2019
Crescent configurations in normed spaces
Sara Fish, Dylan King, Steven J. Miller +2
We study the problem of crescent configurations, posed by Erdős in 1989. A crescent configuration is a set of points in the plane such that: 1) no three points lie on a common…
math.CO2019
On the Number of Discrete Chains
Eyvindur Ari Palsson, Steven Senger, Adam Sheffer
We study a generalization of Erd\H os's unit distances problem to chains of distances. Given a set of points, and a sequence of distances ,…