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math.CO2021
Hilbert series of Parallelogram Polyominoes
Ayesha Asloob Qureshi, Giancarlo Rinaldo, Francesco Romeo
We present a conjecture about the reduced Hilbert series of the coordinate ring of a simple polyomino in terms of particular arrangements of non-attacking rooks that can be placed…
math.CO2018
Chordal circulant graphs and induced matching number
Francesco Romeo
Let be a circulant graph on vertices. In this paper we characterize chordal circulant graphs and then we compute , the induced matching number of . These…
math.CO2017
On the reduced Euler characteristic of independence complexes of circulant graphs
Giancarlo Rinaldo, Francesco Romeo
Let be the circulant graph with . We study the reduced Euler characteristic of the independen…