James S. Depret-Guillaume

collaborators

2 papers

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 $R^{d}$ which form exactly $t$ distinct triangles, where we restrict ourselves to the case of $t = 1$ . We denote t…

math.CO2019

Uniqueness of Optimal Point Sets Determining Two Distinct Triangles

Hazel N. Brenner, James S. Depret-Guillaume, Eyvindur A. Palsson +1

In this paper, we show that the maximum number of points in $d \geq 3$ dimensions determining exactly 2 distinct triangles is $2 d$ . We further show that this maximum is uniquely achi…