Fast pattern matching in indexed texts

Indexed Geometric Jumbled Pattern Matching

We consider how to preprocess n colored points in the plane such that later, given a multiset of colors, we can quickly find an axisaligned rectangle containing a subset of the points with exactly those colors, if one exists. We first give an index that uses o(n) space and o(n) query time when there are O(1) distinct colors. We then restrict our attention to the case in which there are only two...

Pattern Matching in Huffman Encoded Texts

Pattern Matching in Compressed Texts and Images

This review provides a survey of techniques for pattern matching in compressed text and images. Normally compressed data needs to be decompressed before it is processed, but if the compression has been done in the right way, it is often possible to search the data without having to decompress it, or at least only partially decompress it. The problem can be divided into lossless and lossy compre...

Fast Pattern Matching in Strings

An algorithm is presented which finds all occurrences of one. given string within another, in running time proportional to the sum of the lengths of the strings. The constant of proportionality is low enough to make this algorithm of practical use, and the procedure can also be extended to deal with some more general pattern-matching problems. A theoretical application of the algorithm shows th...

On-Line Pattern Matching on Similar Texts

Pattern matching on a set of similar texts has received much attention, especially recently, mainly due to its application in cataloguing human genetic variation. In particular, many different algorithms have been proposed for the off-line version of this problem; that is, constructing a compressed index for a set of similar texts in order to answer pattern matching queries efficiently. However...