Abstract
It is known that the polyomino ideal arising from a simple polyomino comes from a finite bipartite graph and, in particular, it is a prime ideal. A class of nonsimple polyominoes $\mathcal{P}$ for which the polyomino ideal $I_{\mathcal{P}}$ is a prime ideal and for which $I_{\mathcal{P}}$ cannot come from a finite simple graph will be presented.
Citation
Takayuki Hibi. Ayesha Asloob Qureshi. "Nonsimple polyominoes and prime ideals." Illinois J. Math. 59 (2) 391 - 398, Summer 2015. https://doi.org/10.1215/ijm/1462450707
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