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Three Thresholds for a Liar

Three Thresholds for a Liar PDF Author: DIMACS (GROUP)
Publisher:
ISBN:
Category : Coding theory
Languages : en
Pages : 12

Book Description
Our 'three thresholds theorem' says that when the answerer is forbidden at any point to have answered more than a fraction r of the questions incorrectly, then the threshold value is r = 1/2; when the requirement is merely that the total number of lies cannot exceed rq, the threshold is 1/3; and finally if the answerer gets to see all the questions before answering, the treshold drops to 1/4."

Three Thresholds for a Liar

Three Thresholds for a Liar PDF Author: DIMACS (GROUP)
Publisher:
ISBN:
Category : Coding theory
Languages : en
Pages : 12

Book Description
Our 'three thresholds theorem' says that when the answerer is forbidden at any point to have answered more than a fraction r of the questions incorrectly, then the threshold value is r = 1/2; when the requirement is merely that the total number of lies cannot exceed rq, the threshold is 1/3; and finally if the answerer gets to see all the questions before answering, the treshold drops to 1/4."

Surveys in Combinatorics, 1995

Surveys in Combinatorics, 1995 PDF Author: Peter Rowlinson
Publisher: Cambridge University Press
ISBN: 0521497973
Category : Combinatorial analysis
Languages : en
Pages : 243

Book Description
The fifteenth British Combinatorial Conference took place in July 1995 at the University of Stirling. This volume consists of the papers presented by the invited lecturers at the meeting, and provides an up-to-date survey of current research activity in several areas of combinatorics and its applications. These include distance-regular graphs, combinatorial designs, coding theory, spectra of graphs, and randomness and computation. The articles give an overview of combinatorics that will be extremely useful to both mathematicians and computer scientists.

Combinatorial Group Testing and Its Applications

Combinatorial Group Testing and Its Applications PDF Author: Dingzhu Du
Publisher: World Scientific
ISBN: 9812798102
Category : Mathematics
Languages : en
Pages : 337

Book Description
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.

Analogical and Inductive Inference

Analogical and Inductive Inference PDF Author: Klaus P. Jantke
Publisher: Springer Science & Business Media
ISBN: 9783540560043
Category : Computers
Languages : en
Pages : 340

Book Description
This volume contains the text of the five invited papers and 16 selected contributions presented at the third International Workshop on Analogical and Inductive Inference, AII `92, held in Dagstuhl Castle, Germany, October 5-9, 1992. Like the two previous events, AII '92 was intended to bring together representatives from several research communities, in particular, from theoretical computer science, artificial intelligence, and from cognitive sciences. The papers contained in this volume constitute a state-of-the-art report on formal approaches to algorithmic learning, particularly emphasizing aspects of analogical reasoning and inductive inference. Both these areas are currently attracting strong interest: analogical reasoning plays a crucial role in the booming field of case-based reasoning, and, in the fieldof inductive logic programming, there have recently been developed a number of new techniques for inductive inference.

Algorithm Theory - SWAT 2000

Algorithm Theory - SWAT 2000 PDF Author: Magnús M. Halldórsson
Publisher: Springer Science & Business Media
ISBN: 3540676902
Category : Computers
Languages : en
Pages : 578

Book Description
This book constitutes the refereed proceedings of the 7th Scandinavian Workshop on Algorithm Theory, SWAT 2000, held in Bergen, Norway, in July 2000. The 43 revised full papers presented together with 3 invited contributions were carefully reviewed and selected from a total of 105 submissions. The papers are organized in sections on data structures, dynamic partitions, graph algorithms, online algorithms, approximation algorithms, matchings, network design, computational geometry, strings and algorithm engineering, external memory algorithms, optimization, and distributed and fault-tolerant computing.

Theory and Applications of Models of Computation

Theory and Applications of Models of Computation PDF Author: T V Gopal
Publisher: Springer
ISBN: 3319060899
Category : Computers
Languages : en
Pages : 434

Book Description
This book constitutes the refereed proceedings of the 11th Annual Conference on Theory and Applications of Models of Computation, TAMC 2014, held in Chennai, India, in April 2014. The 27 revised full papers presented were carefully reviewed and selected from 112 submissions. The papers explore the algorithmic foundations, computational methods and computing devices to meet today's and tomorrow's challenges of complexity, scalability and sustainability, with wide-ranging impacts on everything from the design of biological systems to the understanding of economic markets and social networks.

Fun with Algorithms

Fun with Algorithms PDF Author: Evangelos Kranakis
Publisher: Springer
ISBN: 3642303471
Category : Computers
Languages : en
Pages : 403

Book Description
This book constitutes the refereed proceedings of the 6th International Conference, FUN 2012, held in June 2012 in Venice, Italy. The 34 revised full papers were carefully reviewed and selected from 56 submissions. They feature a large variety of topics in the field of the use, design, and analysis of algorithms and data structures, focusing on results that provide amusing, witty but nonetheless original and scientifically profound contributions to the area.

Combinatorial Group Testing And Its Applications

Combinatorial Group Testing And Its Applications PDF Author: Ding-zhu Du
Publisher: World Scientific
ISBN: 9814504521
Category : Mathematics
Languages : en
Pages : 263

Book Description
Group testing was first proposed for blood tests, but soon found its way to many industrial applications. Combinatorial group testing studies the combinatorial aspect of the problem and is particularly related to many topics in combinatorics, computer science and operations research. Recently, the idea of combinatorial group testing has been applied to experimental designs, coding, multiaccess computer communication, clone library screening and other fields. This book is the first attempt to cover the theory and applications of combinatorial group testing in one place.

Handbook of Randomized Computing

Handbook of Randomized Computing PDF Author: Sanguthevar Rajasekaran
Publisher: Springer Science & Business Media
ISBN: 9780792369585
Category : Computers
Languages : en
Pages : 554

Book Description


Algebraic Combinatorics and Computer Science

Algebraic Combinatorics and Computer Science PDF Author: H. Crapo
Publisher: Springer Science & Business Media
ISBN: 8847021073
Category : Mathematics
Languages : en
Pages : 542

Book Description
This book, dedicated to the memory of Gian-Carlo Rota, is the result of a collaborative effort by his friends, students and admirers. Rota was one of the great thinkers of our times, innovator in both mathematics and phenomenology. I feel moved, yet touched by a sense of sadness, in presenting this volume of work, despite the fear that I may be unworthy of the task that befalls me. Rota, both the scientist and the man, was marked by a generosity that knew no bounds. His ideas opened wide the horizons of fields of research, permitting an astonishing number of students from all over the globe to become enthusiastically involved. The contagious energy with which he demonstrated his tremendous mental capacity always proved fresh and inspiring. Beyond his renown as gifted scientist, what was particularly striking in Gian-Carlo Rota was his ability to appreciate the diverse intellectual capacities of those before him and to adapt his communications accordingly. This human sense, complemented by his acute appreciation of the importance of the individual, acted as a catalyst in bringing forth the very best in each one of his students. Whosoever was fortunate enough to enjoy Gian-Carlo Rota's longstanding friendship was most enriched by the experience, both mathematically and philosophically, and had occasion to appreciate son cote de bon vivant. The book opens with a heartfelt piece by Henry Crapo in which he meticulously pieces together what Gian-Carlo Rota's untimely demise has bequeathed to science.