Constructible but not shellable example
- Description
-
Identify the vertices with the same label.
- Properties
-
Non-shellability is a consequence of the fact that
this example is contractible but has no boundary.
Constructibility can be easily checked.
In particular, it should be noted that having no boundary
and to be contractible do not imply non-constructibility.
- Datum
-
c-ns.dat
- Some table
-
| vertex decomposable? | no |
| extendably shellable? | no |
| shellable? | no |
| constructible? | yes |
| Cohen-Macaulay? | yes |
| partitionable? | yes |
| topology | contractible |
| f-vector | (1,12,37,26) |
| h-vector | (1,9,16,0) |
| made by | Hachimori |
- References
- M.Hachimori,
Combinatorics of constructible complexes, PhD thesis.
Note: The number of the bottom vertex was wrongly written on the figure.
It is now fixed.
(Thanks Brent for this correction. 2016.6.13)
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