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math.CO2018
Hollow polytopes of large width
Giulia Codenotti, Francisco Santos
We construct a hollow lattice polytope (resp. a hollow lattice simplex) of dimension (resp.) and of width (resp.). They are the first known hollow lattice pol…
math.CO2018
Average Betti numbers of induced subcomplexes in triangulations of manifolds
Giulia Codenotti, Francisco Santos, Jonathan Spreer
We study a variation of Bagchi and Datta's -vector of a simplicial complex , whose entries are defined as weighted averages of Betti numbers of induced subcomplexes of . W…