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A note on optimal multiway split trees

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Abstract

Split trees are suitable data structures for storing records with different access frequencies. Under assumption that the access frequencies are all distinct, Huang has proposed anO(n 4 logm) time algorithm to construct an (m+1)-way split tree for a set ofn keys. In this paper, we generalize Huang's algorithm to deal with the case of non-distinct access frequencies. The technique used in the generalized algorithm is a generalization of Hesteret al.'s, where the binary case was considered. The generalized algorithm runs inO(n 5 logm) time.

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Liu, L.T., Chen, GH. & Wang, YL. A note on optimal multiway split trees. BIT 31, 220–229 (1991). https://doi.org/10.1007/BF01931282

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  • DOI: https://doi.org/10.1007/BF01931282

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