Improved Approximation Ratios for Multiway Cut
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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).
Context
Record bounds on the ratio; the exact approximability of Multiway Cut remains open.
The Multiway Cut approximation ratio is a well-known ladder of the approximation-algorithms community, attacked continuously since 1998.
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"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.
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