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 |
| 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/ |
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