English

Upper bound theorem for odd-dimensional flag triangulations of manifolds

Combinatorics 2018-12-04 v4

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.

Keywords

Cite

@article{arxiv.1503.05961,
  title  = {Upper bound theorem for odd-dimensional flag triangulations of manifolds},
  author = {Michal Adamaszek and Jan Hladký},
  journal= {arXiv preprint arXiv:1503.05961},
  year   = {2018}
}

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