On r-stacked triangulated manifolds

Satoshi Murai, Eran Nevo

Research output: Contribution to journalConference articlepeer-review

Abstract

The notion of r-stackedness for simplicial polytopes was introduced by McMullen and Walkup in 1971 as a generalization of stacked polytopes. In this paper, we define the r-stackedness for triangulated homology manifolds and study their basic properties. In addition, we find a new necessary condition for face vectors of triangulated manifolds when all the vertex links are polytopal.

Original languageEnglish
Pages (from-to)181-192
Number of pages12
JournalDiscrete Mathematics and Theoretical Computer Science
StatePublished - 18 Nov 2013
Event25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013 - Paris, France
Duration: 24 Jun 201328 Jun 2013

Keywords

  • F-vector
  • Face ring
  • Manifold
  • Stackedness
  • Triangulation

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science (all)
  • Discrete Mathematics and Combinatorics

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