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• W3138390539 abstract "Inspired by the notion of Konig graphs we introduce graded ideals of Konig type with respect to a monomial order $<$. It is shown that if $I$ is of Konig type, then the Cohen--Macaulay property of $ini_<(I)$ does not depend on the characteristic of the base field. This happens to be the case also for $I$ itself when $I$ is a binomial edge ideal. Attached to an ideal of Konig type is a sequence of linear forms, whose elements are variables or differences of variables. This sequence is a system of parameters for $ini_<(I)$, and is a potential system of parameters for $I$ itself. We study in detail the ideals of Konig type among the edge ideals, binomial edge ideals and the toric ideal of a Hibi ring and use the Konig property to determine explicitly their canonical module." @default.
• W3138390539 created "2021-03-29" @default.
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• W3138390539 date "2021-03-13" @default.
• W3138390539 modified "2023-09-27" @default.
• W3138390539 title "Graded ideals of Konig type" @default.
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