Arcs in $\Z^2_{2p}$
Zofia St\k{e}pie\'n, Lucjan Szymaszkiewicz
TL;DR
This paper studies the properties of arcs in the grid $ ext{Z}^2_n$, focusing on their maximum sizes for small values of n, contributing to combinatorial geometry in modular grids.
Contribution
It characterizes properties of arcs in $ ext{Z}^2_{2p}$ and determines their maximum sizes for specific small values of n, advancing understanding of non-collinear point sets.
Findings
Maximum size of arcs in $ ext{Z}^2_{2p}$ for small p determined
Properties of arcs in modular grids analyzed
Insights into combinatorial geometry in modular settings
Abstract
An arc in is defined to be a set of points no three of which are collinear. We describe some properties of arcs and determine the maximum size of arcs for some small .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Approximation and Integration · Limits and Structures in Graph Theory · Finite Group Theory Research