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- W2949628327 abstract "In this paper we consider the characteristic polynomial of not necessarily ranked posets. We do so by allowing the rank to be an arbitrary function from the poset to the nonnegative integers. We will prove two results showing that the characteristic polynomial of a poset has nonnegative integral roots. Our factorization theorems will then be used to show that any interval of the Tamari lattice has a characteristic polynomial which factors in this way. Blass and Sagan's result about LL lattices will also be shown to be a consequence of our factorization theorems. Finally we will use quotient posets to give unified proofs of some classic Mobius function results." @default.
- W2949628327 created "2019-06-27" @default.
- W2949628327 creator A5052289709 @default.
- W2949628327 date "2014-11-11" @default.
- W2949628327 modified "2023-09-27" @default.
- W2949628327 title "Applications of Quotient Posets" @default.
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