Simplicial decomposability. (English) Zbl 1311.05002
Summary: We introduce a new Macaulay2 package, SimplicialDecomposability, which works in conjunction with the extant package SimplicialComplexes in order to compute a shelling order, if one exists, of a specified simplicial complex. Further, methods for determining vertex-decomposability are implemented, along with methods for determining \(k\)-decomposability.
MSC:
| 05-04 | Software, source code, etc. for problems pertaining to combinatorics |
| 13-04 | Software, source code, etc. for problems pertaining to commutative algebra |
| 13F55 | Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes |
| 05E45 | Combinatorial aspects of simplicial complexes |
