Title: Factorization of the Characteristic Polynomial
Abstract: We introduce a new method for showing that the roots of the characteristic polynomial of a finite lattice are all nonnegative integers. Our method gives two simple conditions under which the characteristic polynomial factors. We will see that Stanley's Supersolvability Theorem is a corollary of this result. We can also use this method to demonstrate a new result in graph theory and give new proofs of some classic results concerning the Mobius function.
Publication Year: 2014
Publication Date: 2014-03-04
Language: en
Type: article
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