Lower bounds for h-vectors of k-CM, independence and broken circuit complexes

Details Lower bounds for h-vectors of k-CM, independence and broken circuit complexes Lower bounds for h-vectors of k-CM, independence and broken circuit complexes

2004-08-24

arxiv.org/abs/math/0408343v1

Mathematics

Combinatorics

16 pages. To appear in SIAM J. Disc. Math

Scientific paper

We present a number of lower bounds for the h-vectors of k-CM, broken circuit
and independence complexes. These lead to bounds on the coefficients of the
characteristic and reliability polynomials of matroids. The main techniques are
the use of series and parallel constructions on matroids and the short
simplicial h-vector for pure complexes.

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