Abstract:The shift distance sh(S 1 , S 2 ) between two strings S 1 and S 2 of the same length is defined as the minimum Hamming distance between S 1 and any rotation (cyclic shift) of S 2 . We study the problem of sketching the shift distance, which is the following communication complexity problem: Strings S 1 and S 2 of length n are given to two identical players (encoders), who independently compute sketches (summaries) sk(S 1 ) and sk(S 2 ), respectively, so that upon receiving the two sketches, a third player (dec… Show more
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