Gr\"obner bases of balanced polyominoes
classification
🧮 math.AC
keywords
balancedidealobnerpolyominoesbasesbasiscolumnconvex
read the original abstract
We introduce balanced polyominoes and show that their ideal of inner minors is a prime ideal and has a quadratic Gr\"obner basis with respect to any monomial order, and we show that any row or column convex and any tree-like polyomino is simple and balanced.
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