A note on the van der Waerden complex
Keyword(s):
Ehrenborg, Govindaiah, Park, and Readdy recently introduced the van der Waerden complex, a pure simplicial complex whose facets correspond to arithmetic progressions. Using techniques from combinatorial commutative algebra, we classify when these pure simplicial complexes are vertex decomposable or not Cohen-Macaulay. As a corollary, we classify the van der Waerden complexes that are shellable.
Keyword(s):
2012 ◽
Vol 55
(1)
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pp. 157-163
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Keyword(s):
2016 ◽
Vol 08
(03)
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pp. 399-429
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