
doi: 10.1002/rsa.20500
arXiv: 1112.4131
AbstractCommon assumptions on the source producing the words inserted in a suffix trie with n leaves lead to a height and saturation level. We provide an example of a suffix trie whose height increases faster than a power of n and another one whose saturation level is negligible with respect to . Both are built from VLMC (Variable Length Markov Chain) probabilistic sources and are easily extended to families of tries having the same properties. The first example corresponds to a “logarithmic infinite comb” and enjoys a non uniform polynomial mixing. The second one corresponds to a “factorial infinite comb” for which mixing is uniform and exponential. © 2013 Wiley Periodicals, Inc. Random Struct. Alg., 46, 117–141, 2015
[MATH.MATH-PR] Mathematics [math]/Probability [math.PR], Data structures, 000, variable length Markov chain, [INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS], probabilistic source, suffix tree, 37E05, suffix trie, variable-length Markov chain, 004, [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], 60J05, Discrete-time Markov processes on general state spaces, mixing properties, Computer Science - Data Structures and Algorithms, prefix tree, Mathematics - Probability
[MATH.MATH-PR] Mathematics [math]/Probability [math.PR], Data structures, 000, variable length Markov chain, [INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS], probabilistic source, suffix tree, 37E05, suffix trie, variable-length Markov chain, 004, [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], 60J05, Discrete-time Markov processes on general state spaces, mixing properties, Computer Science - Data Structures and Algorithms, prefix tree, Mathematics - Probability
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