Mathematics > Combinatorics
arXiv:2606.20397 (math)
[Submitted on 18 Jun 2026]
Abstract:We prove that every $K_5$-free $n$-vertex graph with sublinear independence number can be made bipartite by removing at most $n^2(1/18+o(1))$ edges, where the constant $1/18$ is best possible. The proof method is related to extensions of Turán Theorem in edge-weighted settings, and part of the proof uses flag algebra.
Submission history
From: Bernard Lidický [view email]
[v1]
Thu, 18 Jun 2026 15:52:25 UTC (137 KB)
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