Simon's shellable but not vertex decomposable example
 Description

Simon's example of a 2dim 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 
CohenMacaulay?  yes 
partitionable?  yes 
topology  contractible 
fvector  (1,6,15,10) 
hvector  (1,3,6,0) 
made by  Simon 
 References
 R.S.Simon,
Combinatorial properties of "Cleanness",
J. Algebra 167 (1994), 361388.
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