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Author: Laurent Alonso
Publisher: Springer Science & Business Media
ISBN: 1475763530
Category : Computers
Languages : en
Pages : 217
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Book Description
Random Generation of Trees is about a field on the crossroads between computer science, combinatorics and probability theory. Computer scientists need random generators for performance analysis, simulation, image synthesis, etc. In this context random generation of trees is of particular interest. The algorithms presented here are efficient and easy to code. Some aspects of Horton--Strahler numbers, programs written in C and pictures are presented in the appendices. The complexity analysis is done rigorously both in the worst and average cases. Random Generation of Trees is intended for students in computer science and applied mathematics as well as researchers interested in random generation.
Author: Laurent Alonso
Publisher: Springer Science & Business Media
ISBN: 1475763530
Category : Computers
Languages : en
Pages : 217
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Book Description
Random Generation of Trees is about a field on the crossroads between computer science, combinatorics and probability theory. Computer scientists need random generators for performance analysis, simulation, image synthesis, etc. In this context random generation of trees is of particular interest. The algorithms presented here are efficient and easy to code. Some aspects of Horton--Strahler numbers, programs written in C and pictures are presented in the appendices. The complexity analysis is done rigorously both in the worst and average cases. Random Generation of Trees is intended for students in computer science and applied mathematics as well as researchers interested in random generation.
Author: Michael Drmota
Publisher: Springer Science & Business Media
ISBN: 3211753575
Category : Mathematics
Languages : en
Pages : 466
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Book Description
The aim of this book is to provide a thorough introduction to various aspects of trees in random settings and a systematic treatment of the mathematical analysis techniques involved. It should serve as a reference book as well as a basis for future research.
Author: A. Sinclair
Publisher: Springer Science & Business Media
ISBN: 1461203236
Category : Computers
Languages : en
Pages : 156
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Book Description
This monograph is a slightly revised version of my PhD thesis [86], com pleted in the Department of Computer Science at the University of Edin burgh in June 1988, with an additional chapter summarising more recent developments. Some of the material has appeared in the form of papers [50,88]. The underlying theme of the monograph is the study of two classical problems: counting the elements of a finite set of combinatorial structures, and generating them uniformly at random. In their exact form, these prob lems appear to be intractable for many important structures, so interest has focused on finding efficient randomised algorithms that solve them ap proxim~ly, with a small probability of error. For most natural structures the two problems are intimately connected at this level of approximation, so it is natural to study them together. At the heart of the monograph is a single algorithmic paradigm: sim ulate a Markov chain whose states are combinatorial structures and which converges to a known probability distribution over them. This technique has applications not only in combinatorial counting and generation, but also in several other areas such as statistical physics and combinatorial optimi sation. The efficiency of the technique in any application depends crucially on the rate of convergence of the Markov chain.
Author: James E. Gentle
Publisher: Springer Science & Business Media
ISBN: 147572960X
Category : Computers
Languages : en
Pages : 252
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Book Description
Monte Carlo simulation has become one of the most important tools in all fields of science. This book surveys the basic techniques and principles of the subject, as well as general techniques useful in more complicated models and in novel settings. The emphasis throughout is on practical methods that work well in current computing environments.
Author:
Publisher: SIAM
ISBN: 9780898713664
Category : Mathematics
Languages : en
Pages : 608
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Book Description
This text covers the proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms, which was held in Atlanta, Georgia, in January 1996.
Author: Marc Fischlin
Publisher: Springer
ISBN: 3642008623
Category : Computers
Languages : en
Pages : 482
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Book Description
This book constitutes the refereed proceedings of the Cryptographers' Track at the RSA Conference 2009, CT-RSA 2009, held in San Francisco, CA, USA in April 2009. The 31 revised full papers presented were carefully reviewed and selected from 93 submissions. The papers are organized in topical sections on identity-based encryption, protocol analysis, two-party protocols, more than signatures, collisions for hash functions, cryptanalysis, alternative encryption, privacy and anonymity, efficiency improvements, multi-party protocols, security of encryption schemes as well as countermeasures and faults.
Author: Howard Karloff
Publisher: SIAM
ISBN: 9780898714104
Category : Mathematics
Languages : en
Pages : 726
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Book Description
This symposium is jointly sponsored by the ACM Special Interest Group on Algorithms and Computation Theory and the SIAM Activity Group on Discrete Mathematics.
Author: Phips Arabie
Publisher: World Scientific
ISBN: 981450453X
Category : Computers
Languages : en
Pages : 501
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Book Description
At a moderately advanced level, this book seeks to cover the areas of clustering and related methods of data analysis where major advances are being made. Topics include: hierarchical clustering, variable selection and weighting, additive trees and other network models, relevance of neural network models to clustering, the role of computational complexity in cluster analysis, latent class approaches to cluster analysis, theory and method with applications of a hierarchical classes model in psychology and psychopathology, combinatorial data analysis, clusterwise aggregation of relations, review of the Japanese-language results on clustering, review of the Russian-language results on clustering and multidimensional scaling, practical advances, and significance tests.
Author: A. Sinclair
Publisher: Springer Science & Business Media
ISBN: 0817636587
Category : Computers
Languages : en
Pages : 161
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Book Description
This monograph is a slightly revised version of my PhD thesis [86], com pleted in the Department of Computer Science at the University of Edin burgh in June 1988, with an additional chapter summarising more recent developments. Some of the material has appeared in the form of papers [50,88]. The underlying theme of the monograph is the study of two classical problems: counting the elements of a finite set of combinatorial structures, and generating them uniformly at random. In their exact form, these prob lems appear to be intractable for many important structures, so interest has focused on finding efficient randomised algorithms that solve them ap proxim~ly, with a small probability of error. For most natural structures the two problems are intimately connected at this level of approximation, so it is natural to study them together. At the heart of the monograph is a single algorithmic paradigm: sim ulate a Markov chain whose states are combinatorial structures and which converges to a known probability distribution over them. This technique has applications not only in combinatorial counting and generation, but also in several other areas such as statistical physics and combinatorial optimi sation. The efficiency of the technique in any application depends crucially on the rate of convergence of the Markov chain.
Author: Brigitte Chauvin
Publisher: Birkhäuser
ISBN: 3034882114
Category : Mathematics
Languages : en
Pages : 526
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Book Description
This is the second volume in a series of innovative proceedings entirely devoted to the connections between mathematics and computer science. Here mathematics and computer science are directly confronted and joined to tackle intricate problems in computer science with deep and innovative mathematical approaches. The book serves as an outstanding tool and a main information source for a large public in applied mathematics, discrete mathematics and computer science, including researchers, teachers, graduate students and engineers. It provides an overview of the current questions in computer science and the related modern and powerful mathematical methods. The range of applications is very wide and reaches beyond computer science.
