On r-stacked triangulated manifolds

Satoshi Murai, Eran Nevo

Research output: Contribution to journalConference article

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
Publication statusPublished - 2013 Nov 18
Externally publishedYes
Event25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013 - Paris, France
Duration: 2013 Jun 242013 Jun 28

Fingerprint

Polytopes
Homology
Face
Necessary Conditions
Vertex of a graph
Generalization

Keywords

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

ASJC Scopus subject areas

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

Cite this

On r-stacked triangulated manifolds. / Murai, Satoshi; Nevo, Eran.

In: Discrete Mathematics and Theoretical Computer Science, 18.11.2013, p. 181-192.

Research output: Contribution to journalConference article

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