English

On the convergence of the $k$-point bound for topological packing graphs

Optimization and Control 2023-06-06 v1 Metric Geometry

Abstract

We show that the kk-point bound of de Laat, Machado, Oliveira, and Vallentin, a hierarchy of upper bounds for the independence number of a topological packing graph derived from the Lasserre hierarchy, converges to the independence number.

Keywords

Cite

@article{arxiv.2306.02725,
  title  = {On the convergence of the $k$-point bound for topological packing graphs},
  author = {Bram Bekker and Fernando Mário de Oliveira Filho},
  journal= {arXiv preprint arXiv:2306.02725},
  year   = {2023}
}

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10 pages