4 citations · 6 across the 6 of their papers we have counts for
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Level and pseudo-Gorenstein path polyominoes
Giancarlo Rinaldo, Francesco Romeo, Rajib Sarkar
We classify path polyominoes which are level and pseudo-Gorenstein. Moreover, we compute all level and pseudo-Gorenstein simple thin polyominoes with rank less than or equal to 10.…
Construction of Cohen-Macaulay binomial edge ideals
Asia Rauf, Giancarlo Rinaldo
We discuss algebraic and homological properties of binomial edge ideals associated to graphs which are obtained by gluing of subgraphs and the formation of cones.
On the second powers of Stanley-Reisner ideals
Giancarlo Rinaldo, Naoki Terai, Ken-ichi Yoshida
In this paper, we study several properties of the second power of a Stanley-Reisner ideal of any dimension. As the main result, we prove that is Gorenstein wh…
Cohen--Macaulaynees for symbolic power ideals of edge ideals
Giancarlo Rinaldo, Naoki Terai, Ken-ichi Yoshida
Let be a polynomial ring over a field . Let denote the edge ideal of a graph . We show that the th symbolic power $I(G)^{(\ell)…