10 citations · 21 across the 16 of their papers we have counts for
12 papers · 1 filter
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…
The -index of semi-Eulerian posets
Martina Juhnke-Kubitzke, José Alejandro Samper, Lorenzo Venturello
We generalize the definition of the -index of an Eulerian poset to the class of semi-Eulerian posets. For simplicial semi-Eulerian Buchsbaum posets, we show that all coefficien…
Triangulations of cosmological polytopes
Martina Juhnke-Kubitzke, Liam Solus, Lorenzo Venturello
A cosmological polytope is defined for a given Feynman diagram, and its canonical form may be used to compute the contribution of the Feynman diagram to the wavefunction of certain…
On flag spheres with few equators
Lorenzo Venturello
In this note we construct a flag simplicial -sphere with the following properties: - is not a suspension; - has no edge that can be contracted to obtain another flag…
On the gamma-vector of symmetric edge polytopes
Alessio D'Alì, Martina Juhnke-Kubitzke, Daniel Köhne +1
We study -vectors associated with -vectors of symmetric edge polytopes both from a deterministic and a probabilistic point of view. On the deterministic side, we prove nonn…
Spectral theory of weighted hypergraphs via tensors
Francesco Galuppi, Raffaella Mulas, Lorenzo Venturello
One way to study an hypergraph is to attach to it a tensor. Tensors are a generalization of matrices, and they are an efficient way to encode information in a compact form. In this…
A new family of triangulations of
Lorenzo Venturello, Hailun Zheng
We construct a family of PL triangulations of the -dimensional real projective space on vertices for every . This impr…
Octahedralizing 3-colorable 3-polytopes
Giulia Codenotti, Lorenzo Venturello
We investigate the question of whether any -colorable simplicial -polytope can be octahedralized, i.e., it can be subdivided to a -dimensional geometric cross-polytopal co…
Graded Betti numbers of balanced simplicial complexes
Martina Juhnke-Kubitzke, Lorenzo Venturello
We prove upper bounds for the graded Betti numbers of Stanley-Reisner rings of balanced simplicial complexes. Along the way we show bounds for Cohen-Macaulay graded rings , wh…
Balanced triangulations on few vertices and an implementation of cross-flips
Lorenzo Venturello
A -dimensional simplicial complex is balanced if the underlying graph is -colorable. We present an implementation of cross-flips, a set of local moves introduced by Izmes…
Balanced shellings and moves on balanced manifolds
Martina Juhnke-Kubitzke, Lorenzo Venturello
A classical result by Pachner states that two -dimensional combinatorial manifolds with boundary are PL homeomorphic if and only they can be connected by a sequence of shellings…
A balanced non-partitionable Cohen-Macaulay complex
Martina Juhnke-Kubitzke, Lorenzo Venturello
In a recent paper, Duval, Goeckner, Klivans and Martin disproved the longstanding conjecture by Stanley, that every Cohen-Macaulay simplicial complex is partitionable. We construct…