14 citations · 34 across the 5 of their papers we have counts for
5 papers
On Gröbner bases and Cohen-Macaulay property of closed path polyominoes
Carmelo Cisto, Francesco Navarra, Rosanna Utano
In this paper we introduce some monomial orders for the class of closed path polyominoes and we prove that the set of the generators of the polyomino ideal attached to a closed pat…
Hilbert-Poincaré series and Gorenstein property for some non-simple polyominoes
Carmelo Cisto, Francesco Navarra, Rosanna Utano
Let be a closed path having no zig-zag walks, a kind of non-simple thin polyomino. In this paper we give a combinatorial interpretation of the -polynomial of $K[\m…
Primality of weakly connected collections of cells and weakly closed path polyominoes
Carmelo Cisto, Francesco Navarra, Rosanna Utano
In this paper we study the primality of weakly connected collections of cells, showing that the ideal generated by inner 2-minors attached to a weakly connected and simple collecti…
A generalization of Wilf's conjecture for Generalized Numerical Semigroups
Carmelo Cisto, Michael DiPasquale, Gioia Failla +3
A numerical semigroup is a submonoid of with finite complement in . A generalized numerical semigroup is a submonoid of with finite compleme…
Irreducible Generalized Numerical Semigroups and uniqueness of the Frobenius element
Carmelo Cisto, Gioia Failla, Chris Peterson +1
Let be the -dimensional monoid of non-negative integers. A generalized numerical semigroup is a submonoid such that $H(S)=\mathbb{N}^…