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- W4287752839 abstract "In this paper we introduce a new class of polyominoes, called closed paths, and we study the primality of their associated ideal. Inspired by an existing conjecture that characterizes the primality of a polyomino ideal by nonexistence of zig-zag walks, we classify all closed paths which do not contain zig-zag walks, and we give opportune toric representations of the associated ideals. To support the conjecture we prove that having no zig-zag walks is a necessary and sufficient condition for the primality of the associated ideal of a closed path. Finally, we present some classes of prime polyominoes viewed as generalizations of closed paths." @default.
- W4287752839 created "2022-07-26" @default.
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- W4287752839 date "2020-06-24" @default.
- W4287752839 modified "2023-09-24" @default.
- W4287752839 title "Primality of closed path polyominoes" @default.
- W4287752839 hasPublicationYear "2020" @default.
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