Counting vertices of integral polytopes defined by facets

Heng Guo, Mark Jerrum*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Number of pages16
JournalDiscrete & computational geometry
Early online date5 Jul 2022
Publication statusE-pub ahead of print - 5 Jul 2022


  • 0/1 polytopes
  • approximation algorithms
  • computational complexity of counting
  • totally unimodular matrices


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