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Benny Sudakov

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Preprint Sep 2026

Minimising the harmonic sum of cycle lengths

A central theme in extremal graph theory is to understand the relationship between the density of a graph and the richness of its cycle length spectrum, which is the set of distinct cycle lengths occurring in the graph. In 1966, Erd\H{o}s and Hajnal suggested studying $s(G):=\sum_{\ell\in{C}(G)}1/\ell$ as a measure of...

Richard Montgomery, Aleksa Milojević, A. Pokrovskiy et al. · 0 citations

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