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E-book
Author Du, Dingzhu.

Title Pooling designs and nonadaptive group testing : important tools for DNA sequencing / Ding-Zhu Du, Frank K. Hwang
Published Singapore ; Hackensack, N.J. : World Scientific, [2006]
©2006
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Description 1 online resource (ix, 237 pages) : illustrations
Contents ch. 1. Introduction. 1.1. Group testing. 1.2. Nonadaptive group testing. 1.3. Applications in molecular biology. 1.4. Pooling designs for two simple applications. 1.5. Pooling designs and mathematics. 1.6. An outline of the book. References -- ch. 2. Basic theory on separating matrices. 2.1. d-Separable and d-separable matrices. 2.2. d-disjunct matrices. 2.3. The minimum number of pools for given d and n. 2.4. Combinatorial bounds for d-disjunct matrices with constant weight. 2.5. Asymptotic lower and upper bounds. 2.6. (d, r)-disjunct matrices. 2.7. Error-tolerance. References -- ch. 3. Deterministic designs. 3.1. t-designs and t-packing. 3.2. Direct construction. 3.3. Explicit construction of selectors. 3.4. Grid designs. 3.5. Error-correcting code. 3.6. Transversal designs. 3.7. The d = 2 case. References -- ch. 4. Deterministic designs from partial orders. 4.1. Subset containment designs. 4.2. Partial order of faces in a simplicial complex. 4.3. Monotone graph properties. 4.4. Partial order of linear spaces over a finite field. 4.5. Atomic poset. References -- ch. 5. Random pooling designs and probabilistic analysis. 5.1. Introduction to random designs. 5.2. A general approach to compute probabilities of unresolved clones. 5.3. Random incidence designs. 5.4. Random k-set designs. 5.5. Random r-size designs. 5.6. Random distinct k-set designs. 5.7. Intersection pooling designs. 5.8. Subset containment designs in extended use. 5.9. Edge-representative decoding with r = 2 and d = 3. 5.10. Some trivial 2-stage pooling designs. References -- ch. 6. Pooling designs on complexes. 6.1. Introduction. 6.2. A construction of (H : d;z)-disjunct matrix. 6.3. (d, r;z]-disjunct matrix. 6.4. Constructions for (d, r;z]-disjunct matrices. 6.5. Random designs. 6.6. Trivial two-stage pooling designs for complete r-graphs. 6.7. Sequential algorithms for H[symbol]. References -- ch. 7. Contig sequencing. 7.1. Introduction. 7.2. Some probability analysis of a k-subset. 7.3. Sequential algorithms. 7.4. Nonadaptive algorithms for matching. 7.5. The 3-stage procedure. References -- ch. 8. The inhibitor model. 8.1. Introduction. 8.2. 1-round algorithm. 8.3. Sequential and k-round algorithms. 8.4. Some other inhibitor models. References -- ch. 9. Hyperplane designs. 9.1. Introduction. 9.2. m-dimensional arrays. 9.3. A K[symbol] x K[symbol] decomposition of K[symbol]. 9.4. Efficiency. 9.5. Other transversal designs. 9.6. Two recent applications. References -- ch 10. Non-unique probe selection. 10.1. Introduction. 10.2. Complexity of pooling designs. 10.3. Complexity of minimum pooling designs. 10.4. Approximations of minimum pooling designs. References
Bibliography Includes bibliographical references and index
Notes Also available via the World Wide Web
Mode of access: World Wide Web
System requirements: Internet connectivity, World Wide Web browser, and Adobe Acrobat
Subject Combinatorial group theory.
Molecular biology -- Mathematics.
Nucleotide sequence -- Mathematics.
Form Electronic book
Author Hwang, Frank.
World Scientific (Firm)
ISBN 9789812773456 (electronic bk.)
9789812773463 (electronic bk.)
9812773452 (electronic bk.)
9812773460 (electronic bk.)
Other Titles Important tools for DNA sequencing