Combinatorial group testing and its applications:

Group testing has been used in medical, chemical and electrical testing, coding, drug screening, pollution control, multiaccess channel management, and recently in data verification, clone library screening and AIDS testing. The mathematical model can be either combinatorial or probabilistic. This b...

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Bibliographic Details
Main Authors: Du, Dingzhu 1948- (Author), Hwang, Frank K. 1940- (Author)
Format: Electronic eBook
Language:English
Published: Singapore ; New Jersey ; London ; Hong Kong World Scientific [2000]
Edition:2nd edition
Series:Series on applied mathematics Volume 12
Subjects:
Online Access:FHN01
TUM01
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Summary:Group testing has been used in medical, chemical and electrical testing, coding, drug screening, pollution control, multiaccess channel management, and recently in data verification, clone library screening and AIDS testing. The mathematical model can be either combinatorial or probabilistic. This book summarizes all important results under the combinatorial model, and demonstrates their applications in real problems. Some other search problems, including the famous counterfeit-coins problem, are also studied in depth. There are two reasons for publishing a second edition of this book. The first is the usual need to update the text (after six years) and correct errors. The second - and more important - reason is to accommodate the recent sudden growth of interest in applying the idea of group testing to clone library screening. This development is much more than just a new application, since the new application brings with it new objectives which require a new twist of theory. It also embraces the growing importance of two topics: nonadaptive algorithms and error tolerance. Two new chapters, one on clone library screening and the other on error tolerance, have been added. Also included is a new chapter on counterfeit coins, the most famous search problem historically, which recently drew on an unexpected connection to some deep mathematical theory to yield new results. Finally, the chapters have been reorganized into parts to provide focuses and perspectives.
Physical Description:1 Online-Ressource (xii, 323 Seiten) Illustrationen
ISBN:9789812798107
9789814494120
DOI:10.1142/4252

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