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Asymptotic performance of the Grimmett-McDiarmid heuristic

Data Structures and Algorithms 2019-12-11 v1 Discrete Mathematics Combinatorics

Abstract

Grimmett and McDiarmid suggested a simple heuristic for finding stable sets in random graphs. They showed that the heuristic finds a stable set of size log2n\sim\log_2 n (with high probability) on a G(n,1/2)G(n, 1/2) random graph. We determine the asymptotic distribution of the size of the stable set found by the algorithm.

Keywords

Cite

@article{arxiv.1912.04772,
  title  = {Asymptotic performance of the Grimmett-McDiarmid heuristic},
  author = {Yuval Filmus},
  journal= {arXiv preprint arXiv:1912.04772},
  year   = {2019}
}

Comments

5 pages, 1 figure