Counting Vertices of Integral Polytopes Defined by Facets

被引：0
|
作者：
Guo, Heng [1 ]
Jerrum, Mark [2 ]
机构：
[1] Univ Edinburgh, Sch Informat, Edinburgh, Midlothian, Scotland
[2] Queen Mary Univ London, Sch Math Sci, London, England
来源：
DISCRETE & COMPUTATIONAL GEOMETRY | 2023年 / 70卷 / 03期
基金：
欧洲研究理事会; 英国工程与自然科学研究理事会;
关键词：
0; 1; polytopes; Approximation algorithms; Computational complexity of counting; Totally unimodular matrices; COMPLEXITY; DECOMPOSITION; MATRIX;
D O I：
10.1007/s00454-022-00406-8
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We present a number of complexity results concerning the problem of counting vertices of an integral polytope defined by a system of linear inequalities. The focus is on polytopes with small integer vertices, particularly 0/1 polytopes and half-integral polytopes.
引用
收藏
页码：975 / 990
页数：16
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