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Maximum Span Hypothesis: A Potentially Weaker Assumption than Gap-ETH for Parameterized Complexity

Karthik C. S., Subhash Khot

2025Year
1Citations

Abstract

The Gap Exponential Time Hypothesis rules out FPT algorithms providing (nearly) tight inapproximability results for a host of fundamental problems in parameterized complexity. One of the downsides of working under Gap-ETH is that the assumption is not inherently in the parameterized complexity world, and therefore one of the main research directions is to replace Gap-ETH with weaker assumptions.

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