The complete classification of empty lattice 4-simplices

Q2 Mathematics

Electronic Notes in Discrete Mathematics Pub Date : 2018-07-01 DOI:10.1016/j.endm.2018.06.027

Óscar Iglesias Valiño , Francisco Santos

引用次数: 0

Abstract

In previous work we classified all empty 4-simplices of width at least three. We here classify those of width two. There are 2 two-parameter families that project to the second dilation of a unimodular triangle, $29 + 23$ one-parameter families of them that project to hollow 3-polytopes, and 2282 individual ones that do not.

查看原文本刊更多论文

空格单形的完全分类

在之前的工作中，我们分类了宽度至少为3的所有空4-简形。这里我们把宽度为2的分类。有2个双参数族投射到单模三角形的第二次膨胀，其中29+23个单参数族投射到中空的3-多面体，2282个单独的族没有。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Electronic Notes in Discrete Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Electronic Notes in Discrete Mathematics is a venue for the rapid electronic publication of the proceedings of conferences, of lecture notes, monographs and other similar material for which quick publication is appropriate. Organizers of conferences whose proceedings appear in Electronic Notes in Discrete Mathematics, and authors of other material appearing as a volume in the series are allowed to make hard copies of the relevant volume for limited distribution. For example, conference proceedings may be distributed to participants at the meeting, and lecture notes can be distributed to those taking a course based on the material in the volume.