A proof of Bjorner's totally nonnegative conjecture

Details A proof of Bjorner's totally nonnegative conjecture A proof of Bjorner's totally nonnegative conjecture

2006-12-13

arxiv.org/abs/math/0612332v1

Mathematics

Combinatorics

Scientific paper

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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