A proof of Bjorner's totally nonnegative conjecture

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The McMullen Correspondence gives a linear dependence between M-sequences of length |d/2|+1 and f-vectors of simplical d-polytopes. Denote the transfer matrix between g and f by M_d. Recently, Bjorner proved that any 2x2-minor of M_d is nonnegative and conjectured that the same would be true for arbitrary minors. In this paper we answer the question in the affirmative.

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Combinatorics, 52B05; 11C20; 05E99

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http://salesiana.dossiersoluciones.com/handle/123456789/102320

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612332
 http://arxiv.org/abs/math/0612332

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arXiv