Böttcher, Julia, Kohayakawa, Yoshiharu and Taraz, Anusch
(2013)
*Almost spanning subgraphs of random graphs after adversarial edge removal.*
Combinatorics, Probability and Computing, 22 (5).
pp. 639-683.
ISSN 0963-5483

## Abstract

Let Δ ≥ 2 be a fixed integer. We show that the random graph ${\mathcal{G}_{n,p}}$ with $p\gg (\log n/n)^{1/\Delta}$ is robust with respect to the containment of almost spanning bipartite graphs H with maximum degree Δ and sublinear bandwidth in the following sense: asymptotically almost surely, if an adversary deletes arbitrary edges from ${\mathcal{G}_{n,p}}$ in such a way that each vertex loses less than half of its neighbours, then the resulting graph still contains a copy of all such H.

Item Type: | Article |
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Official URL: | http://journals.cambridge.org/action/displayJourna... |

Additional Information: | © 2013 Cambridge University Press |

Divisions: | Mathematics |

Subjects: | Q Science > QA Mathematics |

Sets: | Departments > Mathematics |

Date Deposited: | 12 Aug 2013 11:02 |

Last Modified: | 20 Feb 2019 10:27 |

Projects: | TA 309/2-1, EUBRANEX |

Funders: | German Research Foundation, Erasmus Mundus - External Cooperation Window |

URI: | http://eprints.lse.ac.uk/id/eprint/45822 |

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