### Abstract

The edges of the random graph (with the edge probability p=1/2) can be covered using O(n ^{2} lnln n/(ln n) ^{2} ) cliques. Hence this is an upper bound on the intersection number (also called clique cover number) of the random graph. A lower bound, obtained by counting arguments, is (1-e{open})n ^{2} /(2lg n) ^{2} .

Original language | English (US) |
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Pages (from-to) | 1-5 |

Number of pages | 5 |

Journal | Combinatorica |

Volume | 13 |

Issue number | 1 |

DOIs | |

State | Published - Mar 1993 |

### Keywords

- AMS subject classification code (1991): 05C80

### ASJC Scopus subject areas

- Discrete Mathematics and Combinatorics
- Computational Mathematics

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## Cite this

Bollobás, B., Erdos, P., Spencer, J., & West, D. B. (1993). Clique coverings of the edges of a random graph.

*Combinatorica*,*13*(1), 1-5. https://doi.org/10.1007/BF01202786