Abstract:Abstract. We address the problem of creating a dictionary with the finger search property in the strict implicit model, where no information is stored between operations, except the array of elements. We show that for any implicit dictionary supporting finger searches in q(t) = Ω(log t) time, the time to move the finger to another element is Ω(q −1 (log n)), where t is the rank distance between the query element and the finger. We present an optimal implicit static structure matching this lower bound. We furth… Show more
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