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cs.DS2026
Non-Signaling Locality Lower Bounds for Dominating Set
Noah Fleming, Max Hopkins, Yuichi Yoshida
Minimum dominating set is a basic local covering problem and a core task in distributed computing. Despite extensive study, in the classic LOCAL model there exist significant gaps…
cs.CC2026
High Rate Efficient Local List Decoding from HDX
Yotam Dikstein, Max Hopkins, Russell Impagliazzo +1
We construct the first (locally computable, approximately) locally list decodable codes with rate, efficiency, and error tolerance approaching the information theoretic limit, a co…