1 citations · 1 across the 5 of their papers we have counts for
5 papers
Minimal covering bodies and Brunn-Minkowski type inequalities for the covering radius
Giulia Codenotti, Ansgar Freyer, Katarina Krivokuća
Inclusion minimal convex bodies with the property that the integer translates of cover the space are studied. Such bodies are referred to as minimal covering bodies and it…
Exact Flatness Constant for One-Point Convex Bodies and the Discrete Isominwidth Problem: The Planar Case
Gennadiy Averkov, Giulia Codenotti, Ansgar Freyer +1
A variant of the flatness problem from integer programming is studied, in which one considers convex bodies in with at most interior lattice points. The maximum…
The number of edges of a symmetric edge polytope
Giulia Codenotti, Roberto Riccardi, Lorenzo Venturello
The symmetric edge polytope of a simple graph is a lattice polytope defined as the convex hull of a subset of the type A roots corresponding to the edges of the graph. In this arti…
Local -polynomials for one-row Hermite normal form simplices
Esme Bajo, Benjamin Braun, Giulia Codenotti +2
The local -polynomial of a lattice polytope is an important invariant arising in Ehrhart theory. Our focus is on lattice simplices presented in Hermite normal form with a sing…
Lattice Reduced and Complete Convex Bodies
Giulia Codenotti, Ansgar Freyer
The purpose of this paper is to study convex bodies for which there exists no convex body of the same lattice width. Such bodies shall be called ``lattic…