[HTML][HTML] A note on the longest common compatible prefix problem for partial words

M Crochemore, CS Iliopoulos, T Kociumaka… - Journal of Discrete …, 2015 - Elsevier
Journal of Discrete Algorithms, 2015Elsevier
For a partial word w the longest common compatible prefix of two positions i, j, denoted lccp
(i, j), is the largest k such that w [i, i+ k− 1] and w [j, j+ k− 1] are compatible. The LCCP
problem is to preprocess a partial word in such a way that any query lccp (i, j) about this
word can be answered in O (1) time. We present a simple solution to this problem that works
for any linearly-sortable alphabet. Our preprocessing is in time O (n μ+ n), where μ is the
number of blocks of holes in w.
For a partial word w the longest common compatible prefix of two positions i, j, denoted lccp (i, j), is the largest k such that w [i, i+ k− 1] and w [j, j+ k− 1] are compatible. The LCCP problem is to preprocess a partial word in such a way that any query lccp (i, j) about this word can be answered in O (1) time. We present a simple solution to this problem that works for any linearly-sortable alphabet. Our preprocessing is in time O (n μ+ n), where μ is the number of blocks of holes in w.
Elsevier
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