Fast evaluation of sequence pair in block placement by longest common subsequence computation

Xiaoping Tang, Ruiqi Tian, D. F. Wong

Research output: Contribution to journalConference articlepeer-review


Murata et al. (1996) introduced an elegant representation of block placement called sequence pair. All block placement algorithms which are based on sequence pairs use simulated annealing where the generation and evaluation of a large number of sequence pairs is required. Therefore, a fast algorithm is needed to evaluate each generated sequence pair, i.e. to translate the sequence pair to its corresponding block placement. This paper presents a new approach to evaluate a sequence pair based on comparing longest common subsequence in a pair of weighted sequences. We present a very simple and efficient O(n/sup 2/) algorithm to solve the sequence pair evaluation problem. We also show that using a more sophisticated data structure, the algorithm can be implemented to run in O(n log n) time. Both implementations of our algorithm are significantly faster than the previous O(n/sup 2/) graph-based algorithm. For example, we achieve 60/spl times/ speedup over the previous algorithm when input size n=128.

Original languageEnglish (US)
Article number840024
Pages (from-to)106-111
Number of pages6
JournalProceedings -Design, Automation and Test in Europe, DATE
StatePublished - Dec 1 2000
Externally publishedYes
EventDesign, Automation and Test in Europe Conference and Exhibition 2000, DATE 2000 - Paris, France
Duration: Mar 27 2000Mar 30 2000

ASJC Scopus subject areas

  • Engineering(all)


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