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- W3184027729 abstract "A maximal repetition, or run, in a string, is a maximal periodic substring whose smallest period is at most half the length of the substring. In this paper, we consider runs that correspond to a path on a trie, or in other words, on a rooted edge-labeled tree where each edge is labeled with a single symbol, and the endpoints of the path must be a descendant/ancestor of the other. For a trie with n edges, we show that the number of runs is less than n. We also show an asymptotic lower bound on the maximum density of runs in tries: limn→∞ρT(n)/n>0.9932348 where ρT(n) is the maximum number of runs in a trie with n edges. Furthermore, we also show an O(nloglogn) time and O(n) space algorithm for finding all runs." @default.
- W3184027729 created "2021-08-02" @default.
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- W3184027729 date "2021-07-01" @default.
- W3184027729 modified "2023-10-02" @default.
- W3184027729 title "Efficiently computing runs on a trie" @default.
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- W3184027729 doi "https://doi.org/10.1016/j.tcs.2021.07.011" @default.
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