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DNA Library Screening, Pooling Design and Unitary Spaces

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Combinatorial Optimization and Applications (COCOA 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5573))

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Abstract

Pooling design is an important research topic in bio- informatics due to its wide applications in molecular biology, especially DNA library screening. In this paper, with unitary spaces over finite fields, we present two new constructions whose efficiency ratio, i.e., the ratio between the number of tests and the number of items, is smaller than some of existing construction.

Support in part by Natural Science Foundation of Hebei Province, China (No. A2008000128), Natural Science Foundation of Educational Committee of Hebei Province, China (No. 2007137), and National Science Foundation under grants CCF 0621829 and 0627233.

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References

  1. Du, D., Hwang, F.K.: Pooling Designs and Nonadaptive Group Testing. World Scientific, Singapore (2006)

    Book  MATH  Google Scholar 

  2. D’yachkov, A.G., Hwang, F.K., Macula, A.J., Vilenkin, P.A., Weng, C.: A Construction of Pooling Designs with Some Happy Surprises. J. Computational Biology 12, 1129–1136 (2005)

    Article  Google Scholar 

  3. D’yachkov, A.G., Macula, A.J., Vilenkin, P.A.: Nonadaptive Group and Trivial Two Stage Group Testing with Error-Correction d e-Disjunct Inclusion Matrices. In: Csiszár, I., Katona, G.O.H., Tardos, G. (eds.) Entropy, Search, Complexity, 1st edn., pp. 71–84. Springer, Berlin (2007)

    Chapter  Google Scholar 

  4. Huang, T., Weng, C.: Pooling Spaces and Non-adaptive Pooling Designs. Discrete Math. 282, 163–169 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  5. Li, Z., Gao, S., Du, H., Zou, F., Wu, W.: Two Constructions of New Error-correcting Pooling Designs from Orthogonal Spaces over a Finite Field of Characteristic 2. J. Comb. Optim. (to appear)

    Google Scholar 

  6. Macula, A.J.: A Simple Construction of d-Disjunct Matrices with Certain Constant Weights. Discrete Math. 162, 311–312 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  7. Marathe, M.V., Percus, A.G., Torney, D.C.: Combinatorial Optimization in Biology (manuscript, 2000)

    Google Scholar 

  8. Ngo, H., Du, D.: New Constructions of Non-adaptive and Error-tolerance Pooling Designs. Discrete Math. 243, 161–170 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  9. Ngo, H., Du, D.: A Survey on Combinatorial Group Testing Algorithms with Applications to DNA Library Screening. DIMACS Ser. Discrete Math. Theoretical Comp. Sci. 55, 171–182 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  10. Park, H., Wu, W., Liu, Z., Wu, X., Zhao, H.G.: DNA Screening, Pooling Design and Simplicial Complex. J. Comb. Optim. 7, 289–394 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  11. Wan, Z.: Geometry of Classical Groups over Finite Fields, 2nd edn. Science Press, Beijing (2002)

    Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Gao, S., Li, Z., Yu, J., Gao, X., Wu, W. (2009). DNA Library Screening, Pooling Design and Unitary Spaces. In: Du, DZ., Hu, X., Pardalos, P.M. (eds) Combinatorial Optimization and Applications. COCOA 2009. Lecture Notes in Computer Science, vol 5573. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02026-1_5

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  • DOI: https://doi.org/10.1007/978-3-642-02026-1_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02025-4

  • Online ISBN: 978-3-642-02026-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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