Lonely Points in Simplices

被引：0

作者：

Jaroschek, Maximilian ^{[1
]}

Kauers, Manuel ^{[2
]}

Kovacs, Laura ^{[3
]}

机构：

[1] QAware Gmbh, Aschauer Str 32, D-81549 Munich, Germany

[2] Johannes Kepler Univ Linz, Inst Algebra, Altenbergerstr 69, A-4040 Linz, Austria

[3] TU Wien, Inst Log & Computat, Favoritenstr 9-10, A-1040 Vienna, Austria

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2023年 / 69卷 / 01期

基金：

奥地利科学基金会;

关键词：

Integer points; Polytopes; Lattices; Discrete geometry;

D O I：

10.1007/s00454-022-00428-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Given a lattice L subset of Z(m) and a subset A subset of 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.

引用

页码：4 / 25

页数：22

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