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An approximate blow-up lemma for sparse pseudorandom graphs

Allen, Peter and Böttcher, Julia and Hàn, Hiệp and Kohayakawa, Yoshiharu and Person, Yury (2013) An approximate blow-up lemma for sparse pseudorandom graphs. Electronic Notes in Discrete Mathematics, 44. pp. 393-398. ISSN 1571-0653

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Identification Number: 10.1016/j.endm.2013.10.061


We state a sparse approximate version of the blow-up lemma, showing that regular partitions in sufficiently pseudorandom graphs behave almost like complete partite graphs for embedding graphs with maximum degree δ. We show that (p, γ)-jumbled graphs, with γ=o(pmax(2δ,δ+3/2)n), are "sufficiently pseudorandom".The approach extends to random graphs Gn,p with p≫(lognn)1/δ

Item Type: Article
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Additional Information: © 2013 Elsevier B.V.
Subjects: Q Science > QA Mathematics
Sets: Departments > Mathematics
Date Deposited: 16 Dec 2013 14:13
Last Modified: 16 Dec 2013 14:13

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