## Given a permutation T of 1 to n, and a permutation P of 1 to k, for k < n, we wish to find a k-element subsequence of T whose elements are ordered according to the permutation P. For example, if P is ( 1,2, . . . , k), then we wish to find an increasing subsequence of length k in T; this specia
Finding pattern matchings for permutations
โ Scribed by Louis Ibarra
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 267 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
โฆ Synopsis
GivenapermutationPof{l,..., k}andTof{l,..., n}, k < n, the pattern matching problem for permutations is to determine whether there is a length k subsequence of T whose elements are ordered in the same way as the elements of P. We present an 0( kn4) time and 0( kn3) space algorithm for finding a match of P into T or determining that no match exists, given that P is separable,
i.e. contains neither (2,4,1,3) nor (3,1,4,2) as a subpattem. @
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