Improved estimates on the number of unit perimeter triangles

Fuente: arXiv
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Autores principales: Goenka, Ritesh, Moore, Kenneth, White, Ethan Patrick
Formato: Preprint
Publicado: 2023
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author Goenka, Ritesh
Moore, Kenneth
White, Ethan Patrick
author_facet Goenka, Ritesh
Moore, Kenneth
White, Ethan Patrick
contents We obtain new upper and lower bounds on the number of unit perimeter triangles spanned by points in the plane. We also establish improved bounds in the special case where the point set is a section of the integer grid.
format Preprint
id arxiv_https___arxiv_org_abs_2304_03920
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Improved estimates on the number of unit perimeter triangles
Goenka, Ritesh
Moore, Kenneth
White, Ethan Patrick
Combinatorics
Computational Geometry
Metric Geometry
52C10
We obtain new upper and lower bounds on the number of unit perimeter triangles spanned by points in the plane. We also establish improved bounds in the special case where the point set is a section of the integer grid.
title Improved estimates on the number of unit perimeter triangles
topic Combinatorics
Computational Geometry
Metric Geometry
52C10
url https://arxiv.org/abs/2304.03920