In this short note we discuss the shellability of (nonpure) simplicial complexes in terms of acyclic orientations of the facet-ridge incidence graphs, which shows that we can decide shellability only from the facet-ridge incidences and the total number of faces the simplicial complex contains.
- Acyclic orientations
- Simplicial complexes
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics