Fast Parallel Molecular Solution to the Hitting-Set Problem
The hitting-set problem is an NP-complete problem in set theory. Assume that we have collection C of subsets of a finite set S, and a positive integer K les |S|, and we would like to know if there is a subset S' sube S with |S'| les K such that S' hits (contains) at least one element...
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| Published in | 2008 Eighth International Conference on Intelligent Systems Design and Applications Vol. 3; pp. 442 - 447 |
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| Main Authors | , |
| Format | Conference Proceeding |
| Language | English |
| Published |
IEEE
01.11.2008
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| Subjects | |
| Online Access | Get full text |
| ISBN | 9780769533827 0769533825 |
| ISSN | 2164-7143 |
| DOI | 10.1109/ISDA.2008.355 |
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| Abstract | The hitting-set problem is an NP-complete problem in set theory. Assume that we have collection C of subsets of a finite set S, and a positive integer K les |S|, and we would like to know if there is a subset S' sube S with |S'| les K such that S' hits (contains) at least one element from each subset in C. In this paper, the DNA-based algorithm is proposed to solve the hitting-set problem. Furthermore, the simulated experiment is applied to verify correction of the proposed DNA-based algorithm for solving the hitting-set problem. |
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| AbstractList | The hitting-set problem is an NP-complete problem in set theory. Assume that we have collection C of subsets of a finite set S, and a positive integer K les |S|, and we would like to know if there is a subset S' sube S with |S'| les K such that S' hits (contains) at least one element from each subset in C. In this paper, the DNA-based algorithm is proposed to solve the hitting-set problem. Furthermore, the simulated experiment is applied to verify correction of the proposed DNA-based algorithm for solving the hitting-set problem. |
| Author | Nung-Yue Shi Chih-Ping Chu |
| Author_xml | – sequence: 1 surname: Nung-Yue Shi fullname: Nung-Yue Shi organization: Dept. of Comput. Sci. & Inf. Eng., Nat. Cheng Kung Univ., Tainan – sequence: 2 surname: Chih-Ping Chu fullname: Chih-Ping Chu organization: Dept. of Comput. Sci. & Inf. Eng., Nat. Cheng Kung Univ., Tainan |
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| Snippet | The hitting-set problem is an NP-complete problem in set theory. Assume that we have collection C of subsets of a finite set S, and a positive integer K les... |
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| SubjectTerms | Automatic control Computer architecture Computer science DNA computing DNA-based Algorithm DNA-based Supercomputing Intelligent systems Joining processes NP-complete problem Robotics and automation Sequences Set theory the Hitting-set Problem the NP-Complete Problems |
| Title | Fast Parallel Molecular Solution to the Hitting-Set Problem |
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