Determinants Associated to Zeta Matrices of Posets

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We 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.
14 pages, AMS-TeX

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Combinatorics, 05C20,05C50,06A11,15A15

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http://salesiana.dossiersoluciones.com/handle/123456789/70568

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403401
 http://arxiv.org/abs/math/0403401

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arXiv