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math.CO2014★ 3 cited
Applications of Quotient Posets
Joshua Hallam
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 nonnegativ…
math.CO2014★ 1 cited
Factoring the characteristic polynomial of a lattice
Joshua Hallam, Bruce E. Sagan
We introduce a new method for showing that the roots of the characteristic polynomial of certain finite lattices are all nonnegative integers. This method is based on the notion of…