Determinants Associated to Zeta Matrices of Posets

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dc.creatorBallantine, Cristina M.
dc.creatorFrechette, Sharon M.
dc.creatorLittle, John B.
dc.date2004-03-23
dc.date.accessioned2026-07-07T05:06:41Z
dc.date.available2026-07-07T05:06:41Z
dc.descriptionWe consider the matrix ${\frak Z}_P=Z_P+Z_P^t$, where the entries of $Z_P$ are the values of the zeta function of the finite poset $P$. We give a combinatorial interpretation of the determinant of ${\frak Z}_P$ and establish a recursive formula for this determinant in the case in which $P$ is a boolean algebra.
dc.description14 pages, AMS-TeX
dc.identifierhttps://arxiv.org/abs/math/0403401
dc.identifierhttp://arxiv.org/abs/math/0403401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70568
dc.subjectCombinatorics
dc.subject05C20,05C50,06A11,15A15
dc.titleDeterminants Associated to Zeta Matrices of Posets
dc.typetext

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