Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Moci, Luca"'
Autor:
Ciliberti, Azzurra, Moci, Luca
Publikováno v:
Electron. J. Combin. 30.1 (2023), Paper No. 1.15
Sazdanovic and Yip defined a categorification of Stanley's chromatic function called the chromatic symmetric homology. In this paper we prove that (as conjectured by Chandler, Sazdanovic, Stella and Yip), if a graph $G$ is non-planar, then its chroma
Externí odkaz:
http://arxiv.org/abs/2103.01543
Autor:
Moci, Luca, Pagaria, Roberto
Publikováno v:
J. London Math. Soc., 106: 1999-2029 (2022)
Given an arrangement of subtori of arbitrary codimension in a torus, we compute the cohomology groups of the complement. Then, using the Leray spectral sequence, we describe the multiplicative structure on the graded cohomology. We also provide a dif
Externí odkaz:
http://arxiv.org/abs/2001.05180
Autor:
Moci, Luca, Pezzoli, Gian Marco
Publikováno v:
European Journal of Combinatorics 94 (2021) 103312
Given a group $G$ of automorphisms of a matroid $M$, we describe the representations of $G$ on the homology of the independence complex of the dual matroid $M^*$. These representations are related with the homology of the lattice of flats of $M$, and
Externí odkaz:
http://arxiv.org/abs/2001.03760
The monoid of monotone functions on a poset and quasi-arithmetic multiplicities for uniform matroids
We describe the structure of the monoid of natural-valued monotone functions on an arbitrary poset. For this monoid we provide a presentation, a characterization of prime elements, and a description of its convex hull. We also study the associated mo
Externí odkaz:
http://arxiv.org/abs/1902.00864
Publikováno v:
Algebraic Combinatorics, Volume 1 (2018) no. 5, p. 603-651
The Tutte polynomial is the most general invariant of matroids and graphs that can be computed recursively by deleting and contracting edges. We generalize this invariant to any class of combinatorial objects with deletion and contraction operations,
Externí odkaz:
http://arxiv.org/abs/1711.09028
Autor:
Fink, Alex, Moci, Luca
In this paper we address two of the major foundational questions in the theory of matroids over rings. First, we provide a cryptomorphic axiomatisation, by introducing an analogue of the base polytope for matroids. Second, we describe a parameter spa
Externí odkaz:
http://arxiv.org/abs/1707.01026
Autor:
Delucchi, Emanuele, Moci, Luca
In this note we provide a higher-dimensional analogue of Tutte's celebrated theorem on colorings and flows of graphs, by showing that the theory of arithmetic Tutte polynomials and quasi-polynomials encompasses invariants defined for CW complexes by
Externí odkaz:
http://arxiv.org/abs/1602.04307
Autor:
Moci, Luca, Pezzoli, Gian Marco
Publikováno v:
In European Journal of Combinatorics May 2021 94
The monoid of monotone functions on a poset and quasi-arithmetic multiplicities for uniform matroids
Publikováno v:
In Journal of Algebra 1 March 2021 569:377-400
Publikováno v:
Forum of Mathematics, Sigma, 5, 2017
The jaggedness of an order ideal I in a poset P is the number of maximal elements in I plus the number of minimal elements of P not in I. A probability distribution on the set of order ideals of P is toggle-symmetric if for every p in P, the probabil
Externí odkaz:
http://arxiv.org/abs/1507.00249