Polarization and depolarization of monomial ideals with application to multistate system reliability
Abstract
We study the family of depolarizations of a squarefree monomial ideal I, i.e. all monomial ideals whose polarization is I. We describe a method to find all depolarizations of I and study some of the properties they share and some they do not share. We then apply polarization and depolarization tools to study the reliability of multi-state coherent systems via binary systems and vice versa.
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