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math.CO 1

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2026 1

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Triangle packings in randomly perturbed graphs

math.CO · 2026-04-28 · unverdicted · novelty 7.0

For any dn-regular graph perturbed by G(n,p) with p > 2d/(1+2d), there is whp a triangle packing covering all but o(n²) edges, and the bound is optimal for 0 < d ≤ 1/2.

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  • Triangle packings in randomly perturbed graphs math.CO · 2026-04-28 · unverdicted · none · ref 7

    For any dn-regular graph perturbed by G(n,p) with p > 2d/(1+2d), there is whp a triangle packing covering all but o(n²) edges, and the bound is optimal for 0 < d ≤ 1/2.