An enumeration of combinatorial 3-manifolds with nine vertices

A. Altshuler, L. Steinberg

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


A complete classification is given for non-neighborly combinatorial 3-manifolds with nine vertices. It is found that there are 1246 such types, and that they all are spheres. It is shown that 1057 of those spheres are polytopal. i.e. can be realized as boundary complexes of convex 4-polytopes. 115 spheres are non-polytopal, and 74 spheres remain undecided.

Original languageEnglish
Pages (from-to)91-108
Number of pages18
JournalDiscrete Mathematics
Issue number2
StatePublished - 1 Jan 1976

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics


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