Bondy, A.; Fonlupt, J.; Fouquet, J.-L.; Fournier, J.-C.; Ramirez Alfonsin, J.L. (Eds.)

Graph Theory in Paris
Proceedings of a Conference in Memory of Claude Berge

Series: Trends in Mathematics
2006, Approx. 400 p., Hardcover
ISBN: 3-7643-7228-1
Due: July 2006

About this book

In July 2004, a conference on graph theory was held in Paris in memory of Claude Berge, one of the pioneers of the field. The event brought together many prominent specialists on topics, such as perfect graphs and matching theory, upon which Claude Berge's work has had a major impact. This volume includes contributions to these and other topics from many of the participants.

Written for:

Postgraduates and researchers in graph theory

Keywords:

Berge, Claude
Graphentheorie

Table of contents

Preface.- Research articles.

Gilles Van Assche

Quantum Cryptography and Secret-Key Distillation

Hardback (ISBN-13: 9780521864855 | ISBN-10: 0521864852)
July 2006

Quantum cryptography (or quantum key distribution) is a state-of-the-art technique that exploits properties of quantum mechanics to guarantee the secure exchange of secret keys. This self-contained text introduces the principles and techniques of quantum cryptography, setting it in the wider context of cryptography and security, with specific focus on secret-key distillation. The book starts with an overview chapter, progressing to classical cryptography, information theory (classical and quantum), and applications of quantum cryptography. The discussion moves to secret-key distillation, privacy amplification and reconciliation techniques, concluding with the security principles of quantum cryptography. The author explains the physical implementation and security of these systems, enabling engineers to gauge the suitability of quantum cryptography for securing transmission in their particular application. With its blend of fundamental theory, implementation techniques, and details of recent protocols, this book will be of interest to graduate students, researchers, and practitioners in electrical engineering, physics, and computer science.

* The author provides extensive coverage of secret-key distillation techniques, which is covered in less detail in other literature

* This self-contained and multi-disciplinary book brings together the physical aspects of the process with information and coding theory

* The book not only addresses the theory of quantum cryptography but also the practical issues of physical implementation

Contents

1. Introduction; 2. Classical cryptography; 3. Information theory; 4. Quantum information theory; 5. Cryptosystems based on quantum key distribution; 6. General results on secret-key distillation; 7. Privacy amplification using hash functions; 8. Reconciliation; 9. Non-binary reconciliation; 10. The BB84 protocol; 11. Protocols with continuous variables; 12. Security analysis of quantum key distribution; Appendix 1. Symbols and abbreviations.

Lokenath Debnath / University of Texas- Pan Am, Edinburg, Texas, USA

Integral Transforms and Their Applications

ISBN: 1584885750
Publication Date: 7/3/1995
Number of Pages: 480

" Comprehensive coverage of integral transforms and their applications
Over 750 worked examples, exercises, and applications
Ready-to-use tables of integral transforms
Concise discussions of special functions, including gamma, beta, error, Bessel and Airy functions and their properties
Helpful figures and diagrams used to illustrate and clarify difficult concepts

Integral Transforms and Their Applications, provides a systematic , comprehensive review of the properties of integral transforms and their applications to the solution of boundary and initial value problems. Over 750 worked examples, exercises, and applications illustrate how transform methods can be used to solve problems in applied mathematics, mathematical physics, and engineering. The specific applications discussed include problems in differential, integral, and difference equations; electric circuits and networks; vibrations and wave propagation; heat conduction; fractional derivatives and fractional integrals; dynamical systems; signal processing; quantum mechanics; atmosphere and ocean dynamics; physical chemistry; mathematical biology; and probability and statistics.
Integral Transforms and Their Applications includes broad coverage the standard material on integral transforms and their applications, along with modern applications and examples of transform methods. It is both an ideal textbook for students and a sound reference for professionals interested in advanced study and research in the field.

Contents

John N.S. Matthews / The University of Newcastle, Newcastle upon Tyne, UK

Introduction to Randomized Controlled Clinical Trials, Second Edition

Series: Texts in Statistical Science Series Volume: 68
ISBN: 1584886242
Publication Date: 6/27/2006
Number of Pages: 280

Provides a concise and accessible introduction to statistical methods in clinical trials
Contains new and updated references, examples, exercises, and material on binary outcomes and survival analysis
Includes numerous real examples from The Lancet
Features exercises at the end of each chapter with a solutions appendix
Uses Minitab and R software throughout the text and in the exercises

Focusing on the important role that statistical methods play in the analysis of the data collected as well as in the overall clinical trial process, Introduction to Randomized Controlled Clinical Trials provides a concise and accessible introduction to clinical trials. This second edition features new and updated references, examples, exercises, and material on binary outcomes and survival analysis. It features numerous real examples taken from The Lancet, includes exercises at the end of the chapter, and offers solutions in an appendix. Ideal for advanced undergraduate and graduate students, the author uses Minitab and R software throughout the text for implementing the methods presented.