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Minimizing the Number of Triangular Edges

Gruslys, V; Letzter, S; (2018) Minimizing the Number of Triangular Edges. Combinatorics, Probability and Computing , 27 (4) pp. 580-622. 10.1017/s0963548317000189. Green open access

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Abstract

We consider the problem of minimizing the number of edges that are contained in triangles, among n-vertex graphs with a given number of edges. For sufficiently large n, we prove an exact formula for this minimum, which partially resolves a conjecture of Füredi and Maleki.

Type: Article
Title: Minimizing the Number of Triangular Edges
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/s0963548317000189
Publisher version: https://doi.org/10.1017/S0963548317000189
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher's terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10107276
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