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 |
---|---|

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

Additional Information: | © 2013 Cambridge University Press |

Library of Congress subject classification: | Q Science > QA Mathematics |

Sets: | Departments > Mathematics |

Rights: | http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx |

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

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

Date Deposited: | 12 Aug 2013 11:02 |

URL: | http://eprints.lse.ac.uk/45822/ |

### Actions (login required)

Record administration - authorised staff only |