Simple Polyominoes are Prime
classification
🧮 math.AC
keywords
idealpolyominosimplebasisbipartitechordalcoincidesgraph
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In this paper we show that 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.
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