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If the answers to all the queries were to be obtained by unioning together singleton sets, then the lower bound would follow. However, this is too simplistic: ...
Our lower bound applies to algorithms that know the values of n and q, as well as the series of queries and updates, in advance, and do not handle deletions;.
Jul 19, 1993 · We have a collection of initially empty sets and would like to process an intermixed sequence ofn updates (insertions into and deletions from ...
Aug 21, 2024 · They show how to solve set intersection counting in O( √ n) time, where n = N i=1 |S i |, i.e., the total number of elements in all sets. ...
It is shown that any algorithm that fits in this model of computation must take time Ω(q+n√q) to process a sequence ofn updates andq queries, ...
We consider the followingset intersection reporting problem. We have a collection of initially empty sets and would like to process an intermixed sequence ...
Unconditional lower bounds for the space-time tradeoff of SetDisjointness and SetIntersection were proven by Dietz et al. [18] and Afshani and Nielsen [5] for ...
Lemma 2.3 is the main vehicle for proving lower bounds on the storage required by a search structure with a given query time. Complexity questions are in this ...
Abstract: We consider the followingset intersection reporting problem. We have a collection of initially empty sets and would like to process an intermixed ...
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