A note on the van der Waerden complex

• Becky Hooper ^[1] ; Adam Van Tuyl ^[1]
  1. [1] McMaster University

     McMaster University

     Canadá

     
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 124, Nº 2, 2019, págs. 179-187
• Idioma: inglés
• DOI: 10.7146/math.scand.a-111923
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.