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Triangle-free subgraphs of random graphs

Allen, Peter and Böttcher, Julia and Roberts, Barnaby and Kohayakawa, Yoshiharu (2015) Triangle-free subgraphs of random graphs. In: European Conference on Combinatorics, Graph Theory and Applications, 31 Aug - 04 Sep, Bergen, Norway. (Unpublished)

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Abstract

The Andrásfai-Erdős-Sós Theorem [2] states that all triangle-free graphs on n vertices with minimum degree strictly greater than 2n/5 are bipartite. Thomassen [11] proved that when the minimum degree condition is relaxed to ( 1 3 + ε)n, the result is still guaranteed to be rε-partite, where rε does not depend on n. We prove best possible random graph analogues of these theorems.

Item Type: Conference or Workshop Item (Paper)
Official URL: https://eurocomb2015.b.uib.no/
Additional Information: © 2015 The Authors
Subjects: Q Science > QA Mathematics
Sets: Departments > Mathematics
Date Deposited: 09 Dec 2015 15:06
Last Modified: 09 Dec 2015 15:13
URI: http://eprints.lse.ac.uk/id/eprint/64640

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