Completeness and Reduction in Algebraic Complexity Theory: 7 - Brossura

Bürgisser, Peter

Brossura

ISBN 10: 3642086047 ISBN 13: 9783642086045

Casa editrice: Springer, 2010

Riassunto

Bürgisser, a top expert on algebraic complexity theory, has written a monograph on current research in this field. This book gives new results in the theory of NP-completeness. It is written for mathematicians and computer scientists on both research and graduate level.

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Recensione

".... The subject matter of the book is not easy, since it involves prerequisites from several areas, among them complexity theory, combinatorics, analytic number theory, and representations of symmetric and general linear groups. But the author goes to great lengths to motivate his results, to put them into perspective, and to explain the proofs carefully. In summary, this monograph advances its area of algebraic complexity theory, and is a must for people for working on this subject. And it is a pleasure to read."

Joachim von zur Gathen, Mathematical Reviews, Issue 2001g

 

Contenuti

1 Introduction.- 2 Valiant’s Algebraic Model of NP-Completeness.- 3 Some Complete Families of Polynomials.- 4 Cook’s versus Valiant’s Hypothesis.- 5 The Structure of Valiant’s Complexity Classes.- 6 Fast Evaluation of Representations of General Linear Groups.- 7 The Complexity of Immanants.- 8 Separation Results and Future Directions.- References.- List of Notation.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 3642086047
• ISBN 13: 9783642086045
• Rilegatura: Copertina flessibile
• Numero di pagine: 184
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania