Alexander S. Kulikov, Sergei O. Kuznetsov, Pavel Pevzner's Combinatorial Pattern Matching: 25th Annual Symposium, CPM PDF

By Alexander S. Kulikov, Sergei O. Kuznetsov, Pavel Pevzner

ISBN-10: 3319075659

ISBN-13: 9783319075655

ISBN-10: 3319075667

ISBN-13: 9783319075662

This e-book constitutes the refereed court cases of the twenty fifth Annual Symposium on Combinatorial development Matching, CPM 2014, held in Moscow, Russia, in June 2014. The 28 revised complete papers awarded including five invited talks have been conscientiously reviewed and chosen from fifty four submissions. The papers handle problems with looking out and matching strings and extra complex styles corresponding to timber; usual expressions; graphs; aspect units; and arrays. The target is to derive combinatorial houses of such constructions and to take advantage of those houses so as to in achieving more advantageous functionality for the corresponding computational difficulties. The assembly additionally offers with difficulties in computational biology; information compression and knowledge mining; coding; details retrieval; typical language processing; and development recognition.

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Extra resources for Combinatorial Pattern Matching: 25th Annual Symposium, CPM 2014, Moscow, Russia, June 16-18, 2014. Proceedings

Example text

Proof. For = 1 the statement holds trivially. Consider ≥ 2. Let m, as before, denote /2 − 1. If is even, then + 1 is odd and we have Sj +1 = 3 · 2m + (j mod 2m ) < 4 · 2m ≤ 2 · (2 · 2m + (j mod 2m )) = 2 Sj while for odd Sj +1 = 2·2m+1 +(j mod 2m+1 ) < 3·2m+1 ≤ 2·(3 · 2m + (j mod 2m )) = 2 Sj . 34 M. Babenko et al. Fact 4. For 1 ≤ i < j ≤ n, the value α(i, j) can be computed in constant time. Proof. j]| . j]|. Thus α(i, j) ∈ {2m − 1, 2m, 2m + 1}, and we can verify in constant time which of these values is the correct one.

1 in [5]) takes linear time to compute the lengths of minimal suffixes of all its prefixes. We divide T into chunks of length 2m (with m = /2 −1) and run this algorithm for each four (or less at the end) consecutive chunks. This gives the minimal suffixes of Sj for all 1 ≤ j ≤ n, in O(n) time. The value Bj [ ] is determined by comparing the length of the computed minimal suffix of Sj with |Sj −1 |. We have O(log n) phases, which gives O(n log n) total time complexity and O(n) total space consumption. 3 Trade-Off To obtain a data structure with O(n log n/τ ) construction and O(τ ) query time, we define the bit vectors in a slightly different way.

E. symbols may occur in the strings multiple times. Consider a set A and let x and y be two m-tuples over A. One wishes to convert x to y through a sequence of reversal operations. Since the problem is N Phard, an additional constraint was added – disjointness – overlapping reversals are forbidden throughout the algorithm’s operation. This type of constraint has been considered in a number of problems in the context of the rearrangement model [20, 2, 4, 13, 3, 1]. Formally: Approximate On-line Palindrome Recognition, and Applications 23 Definition 1.

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Combinatorial Pattern Matching: 25th Annual Symposium, CPM 2014, Moscow, Russia, June 16-18, 2014. Proceedings by Alexander S. Kulikov, Sergei O. Kuznetsov, Pavel Pevzner

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