Giulia Codenotti

collaborators

3 papers

math.CO2019

Octahedralizing 3-colorable 3-polytopes

Giulia Codenotti, Lorenzo Venturello

We investigate the question of whether any $d$ -colorable simplicial $d$ -polytope can be octahedralized, i.e., it can be subdivided to a $d$ -dimensional geometric cross-polytopal co…

math.CO2018

Hollow polytopes of large width

Giulia Codenotti, Francisco Santos

We construct a hollow lattice polytope (resp. a hollow lattice simplex) of dimension $14$ (resp. $404$ ) and of width $15$ (resp. $408$ ). 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 $σ$ -vector of a simplicial complex $C$ , whose entries are defined as weighted averages of Betti numbers of induced subcomplexes of $C$ . W…