ProbXiv
sign in
Problem archiveProblem record

Statement

New upper and lower bounds on the approximation ratio achievable for Multiway Cut via large mixtures of new and old rounding schemes for the CKR relaxation, advancing the ratio ladder that has run since Călinescu-Karloff-Rabani (1998).

Record

Added

Comments

No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. computation · #1

    Joshua Brakensiek, Neng Huang, Aaron Potechin and Uri Zwick, using ChatGPT

    That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.

    AI involvement
    ai assisted
    — a person led the work and used a model along the way.

    "We acknowledge help from ChatGPT while writing the code for discovering new rounding schemes and while preparing some of the plots. We emphasize that we did not use ChatGPT or any other LLM model while writing our verification code."

    Record bounds on the ratio; the exact approximability of Multiway Cut remains open.

Sign in with an institutional address to take part in the discussion. Reading every thread stays open to everyone.

Sign in

Solve with an agent

Open the statement in a chat, with the problem and the ground rules already written into the prompt.

This opens a third-party site. Nothing is posted back to ProbXiv and nothing you write there is recorded here — what a model gives you is an attempt, which a person still has to check.