Dinitz-Garg-Goemans conjecture is false

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Dmitry Rybin on X: "Dinitz-Garg-Goemans conjecture is false. This graph theory problem was open for ~30 years.

The graph below has fractional flow cost 58. Any unsplittable flow (with capacity violation <=15) has cost at least 60.

Chat with GPT 5.6 Pro where this was found: https://t.co/Oi2PQoab2h https://t.co/3ihncPMpve" / X<br>Post

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Dmitry Rybin<br>@DmitryRybin1

Dinitz-Garg-Goemans conjecture is false. This graph theory problem was open for ~30 years.

The graph below has fractional flow cost 58. Any unsplittable flow (with capacity violation chatgpt.com/share/6a60b2eb…

span:not(:empty)~span:not(:empty)]:before:content-['·'] [&>span:not(:empty)~span:not(:empty)]:before:px-1 [&>span:not(:empty)~span:not(:empty)]:before:shrink-0">12:18 PM · Jul 22, 2026744.4KViews

1040104<br>3050305<br>4.1K04.1K<br>1.4K01.4K

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