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Bipartite Coverings of Graphs

  • VOJTECH RÖDL (a1) and ANDRZEJ RUCIŃSKI (a1) (a2)
    • Published online: 01 September 1997
Abstract

In this note we give a probabilistic proof of the existence of an n-vertex graph Gn, n=1, 2, [ctdot ], such that, for some constant c>0, the edges of Gn cannot be covered by nc log n complete bipartite subgraphs of Gn. This result improves a previous bound due to F. R. K. Chung and is the best possible up to a constant.

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Combinatorics, Probability and Computing
  • ISSN: 0963-5483
  • EISSN: 1469-2163
  • URL: /core/journals/combinatorics-probability-and-computing
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