Entropy, Search, Complexity by Gyula Katona

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Summary

In the traditional search model an unknown element is sought in a ?nite set, based on the information that the unknown element is or is not in some (asked) subsets. A variant is when a 0,1 function is given on the underlying set, and only the values of this function at the unknown element x is sought rather than x itself.

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Entropy, Search, Complexity by Gyula Katona

The present volume is a collection of survey papers in the ?elds given in the title. They summarize the latest developments in their respective areas. More than half of the papers belong to search theory which lies on the borderline of mathematics and computer science, information theory and combinatorics, respectively. The volume is slightly related to the twin conferences Search And Communication Complexity and Information Theory In Mathematics held at Balatonlelle, Hungary in 2000. These conferences led us to believe that there is a need for such a collection of papers. The paper written by Martin Aigner starts with the following relatively new search problem. Given n boolean variables as input one has to ?nd one of them whose value is in majority. The goal is to minimize the number of tests needed for this where one test is to compare two input variables for equality. The paper surveys the large set of problems and results which grew out of this one. In the traditional search model an unknown element is sought in a ?nite set, based on the information that the unknown element is or is not in some (asked) subsets. A variant is when a 0,1 function is given on the underlying set, and only the values of this function at the unknown element x is sought rather than x itself. This is called the recognition problem.
Csisz�r, Imre: - Imre Csisz�r is a Research Professor at the R�nyi Institute of the Hungarian Academy of Sciences, where he has worked since 1961. He is also Professor Emeritus of the University of Technology and Economics, Budapest, a Fellow of the Institute of Electronic and Electrical Engineers (IEEE) and former President of the Hungarian Mathematical Society. He has received numerous awards, including the Shannon Award of the IEEE Information Theory Society (1996).
SKU Unavailable
ISBN 13 9783642068997
ISBN 10 3642068995
Title Entropy, Search, Complexity
Author Imre Csiszr
Series Bolyai Society Mathematical Studies
Condition Unavailable
Binding Type Paperback
Publisher Springer
Year published 2010-11-20
Number of pages 262
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.