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| Impact of Pattern Feature on Pattern Matching Problem with Wildcards and Length Constraints |
| WANG Hai-Ping1, HU Xue-Gang1, XIE Fei1,2, GUO Dan1, WU Xin-Dong1,3 |
1. Department of Computer Science and Technology,School of Computer Science and Information,Hefei University of Technology,Hefei 230009
2.Department of Computer Science and Technology,Hefei Normal University,Hefei 230601
3. Department of Computer Science,The University of Vermont,Burlington 05405 |
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Abstract Pattern matching with wildcards and length constraints (PMWL) provides more convenience to users since its flexibility in definition which also leads to difficulties in solving problem. Currently, to our knowledge, no polynomial algorithms obtain the complete solution of this problem, and the analysis for completeness is far from sufficient. In this paper, the pattern feature is proved to be the key factor for the completeness of PMWL and a concept, denoted as rep, is provided which measures the repetitions in the pattern. The completeness of PMWL is proved under a certain condition when rep=0. And the reason of incompleteness under the condition of rep>0 is also explained clearly. In the experiments, approximation ratio is utilized as a measurement to demonstrate the impact of rep on the PMWL problem.
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Received: 26 July 2011
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2012, Vol. 25 
