Simon's shellable but not vertex decomposable example
- Description
-
Simon's example of a 2-dim simplicial complex which is
shellable but not vertex decomposable.
Appears in the appendix of Simon's 1994 paper.
With 6 vertices and 10 facets.
- Datum
-
simon2.dat
- Some table
-
| vertex decomposable? | no |
| extendably shellable? | no |
| shellable? | yes |
| constructible? | yes |
| Cohen-Macaulay? | yes |
| partitionable? | yes |
| topology | contractible |
| f-vector | (1,6,15,10) |
| h-vector | (1,3,6,0) |
| made by | Simon |
- References
- R.S.Simon,
Combinatorial properties of "Cleanness",
J. Algebra 167 (1994), 361-388.
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