Maintaining dynamic sequences under equality tests in polylogarithmic time
Author(s) -
Kurt Mehlhorn,
R. Sundar,
Christian Uhrig
Publication year - 1997
Publication title -
algorithmica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.647
H-Index - 78
eISSN - 1432-0541
pISSN - 0178-4617
DOI - 10.1007/bf02522825
Subject(s) - sequence (biology) , theory of computation , combinatorics , mathematics , randomized algorithm , time complexity , deterministic algorithm , algorithm , genetics , biology
. We present a randomized and a deterministic data structure for maintaining a dynamic,family of sequences under equality tests of pairs of sequences and creations of new sequences by joining or splitting existing sequences. Both data structures support equality tests in O.1/ time. The randomized version supports new,sequence creations in O.log, mClog n// time for the mth operation. Key Words. Algorithms, Data structures, Derandomization, Randomization, Sequences.
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