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Limits to parallel computation : P-completeness theory /

This volume provides an ideal introduction to key topics in parallel computing. With its cogent overview of the essentials of the subject as well as lists of P -complete- and open problems, extensive remarks corresponding to each problem, a thorough index, and extensive references, the book will pro...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Greenlaw, Raymond
Otros Autores: Hoover, H. James, Ruzzo, Walter L.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Oxford University Press, 1995.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Contents
  • Preface
  • Part I58; Background and Theory
  • 1 Introduction
  • 146;1 Bandersnatch Design
  • 146;2 Informal Background
  • 146;3 Some History
  • 146;4 Related Works
  • 146;5 Overview of This Book
  • 2 Parallel Models of Computation
  • 1 Introduction
  • 2 The PRAM Model
  • 3 The Boolean Circuit Model
  • 4 Circuits and PRAMs
  • 3 Complexity
  • 346;1 Search and Decision Problems
  • 346;2 Complexity Classes
  • 346;3 Reducibility
  • 346;4 Other NC Compatible Reducibilities
  • 346;5 Completeness
  • 4 Two Basic P45;Complete Problems
  • 446;1 The Generic P45;Complete Problem
  • 446;2 The Circuit Value Problem
  • 5 Evidence That NC Does Not Equal P
  • 546;1 Introduction
  • 546;2 General Simulations Are Not Fast
  • 546;3 Fast Simulations Are Not General
  • 546;4 Natural Approaches Provably Fail
  • 546;5 Summary
  • 6 The Circuit Value Problem
  • 646;1 The Circuit Value Problem Is P45;Complete
  • 646;2 Restricted Versions of Cimiit Value
  • 7 Greedy Algorithms
  • 746;1 Lexicographic Greedy Algorithms
  • 746;2 Generic Greedy Algorithms
  • 8 P45;Complete Algorithms
  • 846;1 Introduction
  • 846;2 Inherently Sequential Algorithms
  • 846;3 Applications of the Model
  • 9 Two Other Notions of P45;Completeness
  • 946;1 Strong P45;Completeness
  • 946;2 Strict P45;Completeness
  • 10 Approximating P45;Complete Problems
  • 1046;1 Introduction
  • 1046;2 Approximating LFMIS Is Hard
  • 1046;3 Approximation Schemes
  • 11 Closing Remarks
  • Part II58; A Compendium of Problems
  • A58; P45;Complete Problems
  • A46;1 Circuit Complexity
  • A46;2 Graph Theory
  • A46;3 Searching Graphs
  • A46;4 Combinatorial Optimization
  • A46;5 Local Optimality
  • A46;6 Logic
  • A46;7 Formal Languages
  • A46;8 Algebra
  • A46;9 Geometry
  • A46;10 Real Analysis
  • A46;11 Games
  • A46;12 Miscellaneous
  • B58; Open Problems
  • B46;1 Graph Theory
  • B46;2 Combinatorial Optimization
  • B46;3 Logic
  • B46;4 Formal Languages
  • B46;5 Algebra
  • B46;6 Geometry
  • B46;7 Real Analysis
  • B46;8 CC
  • B46;9 RNC
  • C58; Notation
  • D58; Complexity Classes
  • D46;1 Definitions
  • D46;2 Relationships Among Complexity Classes
  • Bibliography
  • Problem List
  • Index
  • A
  • B
  • C
  • D
  • E
  • F
  • G
  • H
  • I
  • J
  • K
  • L
  • M
  • N
  • O
  • P
  • Q
  • R
  • S
  • T
  • U
  • V
  • W
  • Y
  • Z
  • Last Page.