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Counting Vertices of Integral Polytopes Defined by Facets.

Authors :
Guo, Heng
Jerrum, Mark
Source :
Discrete & Computational Geometry; Oct2023, Vol. 70 Issue 3, p975-990, 16p
Publication Year :
2023

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01795376
Volume :
70
Issue :
3
Database :
Complementary Index
Journal :
Discrete & Computational Geometry
Publication Type :
Academic Journal
Accession number :
172779240
Full Text :
https://doi.org/10.1007/s00454-022-00406-8