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Maximum planar subgraphs in dense graphs

Allen, Peter ORCID: 0000-0001-6555-3501, Skokan, Jozef ORCID: 0000-0003-3996-7676 and Würfl, Andreas (2013) Maximum planar subgraphs in dense graphs. Electronic Journal of Combinatorics, 20 (3). ISSN 1077-8926

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Identification Number: P1

Abstract

Küuhn, Osthus and Taraz showed that for each γ >0 there exists C such that any n-vertex graph with minimum degree γn contains a planar subgraph with at least 2n - C edges. We find the optimum value of C for all γ< 1/2 and sufficiently large n

Item Type: Article
Official URL: http://www.combinatorics.org/ojs/index.php/eljc/in...
Additional Information: © 2013 The Authors
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 02 Aug 2013 14:01
Last Modified: 01 Oct 2024 03:40
URI: http://eprints.lse.ac.uk/id/eprint/51362

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