Yves Crama, Peter L. Hammer

Boolean Functions

Theory, Algorithms, and Applications

• Gebundenes Buch

Produktbeschreibung

Provides the first comprehensive, unified presentation of the structural, algorithmic and applied aspects of the theory of Boolean functions.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 710
• Erscheinungstermin: 14. Februar 2014
• Englisch
• Abmessung: 240mm x 161mm x 46mm
• Gewicht: 1350g
• ISBN-13: 9780521847513
• ISBN-10: 0521847516
• Artikelnr.: 32947986

Autorenporträt

Dr Yves Crama is Professor of Operations Research and Production Management and the former Director General of the HEC Management School of the University of Liège, Belgium. He is widely recognized as a prominent expert in the field of Boolean functions, combinatorial optimization and operations research, and he has coauthored more than 70 papers and three books on these subjects. Dr Crama is a member of the Editorial Board of Discrete Applied Mathematics, Discrete Optimization, the Journal of Scheduling and 4OR - the quarterly journal of the Belgian, French and Italian Operations Research Societies.

Inhaltsangabe

Part I. Foundations: 1. Fundamental concepts and applications
2. Boolean equations
3. Prime implicants and minimal DNFs Peter L. Hammer and Alexander Kogan
4. Duality theory Yves Crama and Kazuhisa Makino
Part II. Special Classes: 5. Quadratic functions Bruno Simeone
6. Horn functions Endre Boros
7. Orthogonal forms and shellability
8. Regular functions
9. Threshold functions
10. Read-once functions Martin C. Golumbic and Vladimir Gurvich
11. Characterizations of special classes by functional equations Lisa Hellerstein
Part III. Generalizations: 12. Partially defined Boolean functions Toshihide Ibaraki
13. Pseudo-Boolean functions
Appendix A. Graphs and hypergraphs
Appendix B. Algorithmic complexity
Appendix C. JBool: a software tool Claude Benzaken and Nadia Brauner.