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Upper bound theorem for odd-dimensional flag triangulations of manifolds (1503.05961v4)
Published 19 Mar 2015 in math.CO
Abstract: We prove that among all flag triangulations of manifolds of odd dimension 2r-1 with sufficiently many vertices the unique maximizer of the entries of the f-, h-, g- and gamma-vector is the balanced join of r cycles. Our proof uses methods from extremal graph theory.
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