English

New lower bounds on $\chi(R^d)$ for $d=8 \dots 12$

Combinatorics 2014-09-05 v1 Metric Geometry

Abstract

We improve the best lower bounds on the chromatic number of Euclidean space in small dimensions. The new results depend on extensive computations in Sage.

Keywords

Cite

@article{arxiv.1409.1278,
  title  = {New lower bounds on $\chi(R^d)$ for $d=8 \dots 12$},
  author = {Matthew Kahle and Birra Taha},
  journal= {arXiv preprint arXiv:1409.1278},
  year   = {2014}
}

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8 pages