Abstract
In this paper, we show that the polyomino ideal of a simple polyomino coincides with the toric ideal of a weakly chordal bipartite graph, and hence, it has a quadratic Gr\"obner basis with respect to a suitable monomial order.
Citation
Ayesha Asloob Qureshi. Takafumi Shibuta. Akihiro Shikama. "Simple polyominoes are prime." J. Commut. Algebra 9 (3) 413 - 422, 2017. https://doi.org/10.1216/JCA-2017-9-3-413
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