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Multidimensional digital searching – alternative data structures. (English) Zbl 0803.68024
Summary: We analyze the average cost of partial match queries in $$M$$-dimensional Digital Search Trees and Patricia Tries. Our results allow a precise comparison of the average behavior of these data structures with the $$M$$- dimensional Tries studied by P. Flajolet and C. Puech [J. Assoc. Comput. Math. 33, 371-407 (1986)]. It turns out that Patricia is superior to Digital Search Trees, the latter ones being superior to Tries.
Reviewer: Reviewer (Berlin)

##### MSC:
 68P10 Searching and sorting 68P05 Data structures
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##### References:
 [1] Flajolet, J. Assoc. Comput. Mach. 33 pp 371– (1986) · doi:10.1145/5383.5453 [2] Plajolet, SIAM J. Comput. 15 pp 748– (1986) [3] The Art of Computer Programming, Vol. 3, Addison-Wesley, Reading, MA, 1973. [4] Vorlesungen über Differenzenrechnung, Chelsea, New York, 1954.
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