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UPPER BOUND THEOREM FOR ODD-DIMENSIONAL FLAG TRIANGULATIONS OF MANIFOLDS
Published online by Cambridge University Press: 01 June 2016
Abstract
We prove that among all flag triangulations of manifolds of odd dimension $2r-1$ , with a sufficient number of vertices, the unique maximizer of the entries of the
$f$ -,
$h$ -,
$g$ - and
$\unicode[STIX]{x1D6FE}$ -vector is the balanced join of
$r$ cycles. Our proof uses methods from extremal graph theory.
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- Research Article
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- Copyright © University College London 2016
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