Combinatorial Group Testing and Its Applications (2nd Edition)

Dingzhu Du, Frank Hwang

World Scientific Publishing Company Incorporated, 2000 - Mathematics - 323 pages

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 recognized into parts to provide focuses and perspectives.

About the author

DING-ZHU DU, PhD, is Professor of Computer Science at the University of Minnesota.

KER-I KO, PhD, is Professor of Computer Science at the State University of New York at Stony Brook. The two are also coauthors of Theory of Computational Complexity (Wiley).

Hwang-Chiao-Tung Univ, Taiwan

Bibliographic information

• Title: Combinatorial Group Testing and Its Applications (2nd Edition); Applied Mathematics; Series on applied mathematics; Volume 12 of World scientific series on applied mathematics
• Authors: Dingzhu Du, Frank Hwang
• Edition: 2, illustrated
• Publisher: World Scientific Publishing Company Incorporated, 2000
• ISBN: 9810241070, 9789810241070
• Length: 323 pages
• Subjects: Computers / Programming / General; Mathematics / Applied