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049 |a UAMI 
100 1 |a Du, Dingzhu. 
245 1 0 |a Pooling designs and nonadaptive group testing :  |b important tools for DNA sequencing /  |c Ding-Zhu Du, Frank K. Hwang. 
260 |a New Jersey :  |b World Scientific,  |c ©2006. 
300 |a 1 online resource (ix, 237 pages) :  |b illustrations. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Series on applied mathematics ;  |v v. 18 
504 |a Includes bibliographical references and index. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [S.l.] :  |c HathiTrust Digital Library,  |d 2011.  |5 MiAaHDL 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
583 1 |a digitized  |c 2011  |h HathiTrust Digital Library  |l committed to preserve  |2 pda  |5 MiAaHDL 
588 0 |a Print version record. 
505 0 |a 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. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Molecular biology  |x Mathematics. 
650 0 |a Nucleotide sequence  |x Mathematics. 
650 0 |a Combinatorial group theory. 
650 0 |a Mathematical models. 
650 2 |a Sequence Analysis, DNA  |x methods 
650 2 |a Models, Theoretical 
650 6 |a Biologie moléculaire  |x Mathématiques. 
650 6 |a Théorie combinatoire des groupes. 
650 6 |a Modèles mathématiques. 
650 7 |a mathematical models.  |2 aat 
650 7 |a SCIENCE  |x Life Sciences  |x Genetics & Genomics.  |2 bisacsh 
650 7 |a Mathematical models  |2 fast 
650 7 |a Combinatorial group theory  |2 fast 
650 7 |a Molecular biology  |x Mathematics  |2 fast 
650 7 |a Nucleotide sequence  |x Mathematics  |2 fast 
700 1 |a Hwang, Frank. 
776 0 8 |i Print version:  |a Du, Dingzhu.  |t Pooling designs and nonadaptive group testing.  |d New Jersey : World Scientific, ©2006  |w (DLC) 2006046417 
776 0 8 |i Online version:  |a Du, Dingzhu.  |t Pooling designs and nonadaptive group testing.  |d New Jersey : World Scientific, ©2006  |w (OCoLC)761806724 
830 0 |a Series on applied mathematics ;  |v v. 18. 
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