An approximate blow-up lemma for sparse pseudorandom graphs

Allen, Peter ORCID: 0000-0001-6555-3501, Böttcher, Julia ORCID: 0000-0002-4104-3635, Hàn, Hiệp, 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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Abstract

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
Official URL:	http://www.elsevier.com/journals/electronic-notes-...
Additional Information:	© 2013 Elsevier B.V.
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	16 Dec 2013 14:13
Last Modified:	01 Oct 2024 03:40
URI:	http://eprints.lse.ac.uk/id/eprint/54939

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