8 citations · 31 across the 11 of their papers we have counts for
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Generalized Numerical semigroups up to isomorphism
Carmelo Cisto, Gioia Failla, Francesco Navarra
A generalized numerical semigroup is a submonoid of with finite complement in it. We characterize isomorphisms between these monoids in terms of permutation of c…
On the rook polynomial of grid polyominoes
Rodica Dinu, Francesco Navarra
Grid polyominoes form a class of thin polyominoes with one or more holes arranged in a grid-like pattern in the plane. In this paper, we prove that the rook polynomial of grid poly…
Shellable simplicial complex and switching rook polynomial of frame polyominoes
Rizwan Jahangir, Francesco Navarra
Let be a frame polyomino, a new kind of non-simple polyomino. In this paper we study the -polynomial of in terms of the switching rook polynomial…
On some classes of generalized numerical semigroups
Carmelo Cisto, Francesco Navarra
A generalized numerical semigroup is a submonoid of with finite complement in it. In this work we study some properties of three different classes of generalized num…
Primality of closed path polyominoes
Carmelo Cisto, Francesco Navarra
In this paper we introduce a new class of polyominoes, called closed paths, and we study the primality of their associated ideal. Inspired by an existing conjecture that characteri…