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Lonely Points in Simplices.

Authors :
Jaroschek M
Kauers M
Kovács L
Source :
Discrete & computational geometry [Discrete Comput Geom] 2023; Vol. 69 (1), pp. 4-25. Date of Electronic Publication: 2022 Sep 29.
Publication Year :
2023

Abstract

Given a lattice L ⊆ Z m and a subset A ⊆ R m , we say that a point in A is lonely if it is not equivalent modulo L to another point of  A . We are interested in identifying lonely points for specific choices of L when A is a dilated standard simplex, and in conditions on L which ensure that the number of lonely points is unbounded as the simplex dilation goes to infinity.<br /> (© The Author(s) 2022.)

Details

Language :
English
ISSN :
0179-5376
Volume :
69
Issue :
1
Database :
MEDLINE
Journal :
Discrete & computational geometry
Publication Type :
Academic Journal
Accession number :
36605030
Full Text :
https://doi.org/10.1007/s00454-022-00428-2