J. Passant

activity

20172025

most citedFinite point configurations in the plane, rigidity and Erdos problems

1 citations · 4 across the 7 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.CO2020★ 1 cited

On Erdős Chains in the Plane

Jonathan Passant

Let $P$ be a finite point set in $R^{2}$ with the set of distance $n$ -chains defined as $Δ_{n} (P) = {(∣ p_{1} - p_{2} ∣, ∣ p_{2} - p_{3} ∣, \dots, ∣ p_{n} - p_{n + 1} ∣) : p_{i} \in P} .$ We show that fo…

math.MG2020

Distinct Distances Between a Circle and a Generic Set

Alex McDonald, Brian McDonald, Jonathan Passant +1

Let $S$ be a set of points in $R^{2}$ contained in a circle and $P$ an unrestricted point set in $R^{2}$ . We prove the number of distinct distances between points in…