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大学计算机教育国外著名教材系列·算法设计

《大学来自计算机教育国外著名教材系列·算法设计》是2006年清华大学出版社出版的图书,作者是(美)克莱因伯格 塔多斯

  • 书名 大学计算机教育国外著名教材系列·算法设计
  • 作者 (美)克莱因伯格 塔多斯
  • 出版社 清华大学出版社
  • 出版时间 2006年1月1日
  • 页数 838 页

内容简介

  《算法设计》(影印版)是近年来关于算法设计和分析的不可多得的优秀教材。来自《算法设计》(影印版)围绕算法设计技术组织素材,对每种算法技术选择了多个典型制迫尽范例进行分析。《算法设360百科计》(影印版)将二入饭除细派案掉直观性与严谨性完美地结合起来。每章从实际问题出发,经过具体、深入、细致的分析,自然且富有启发性地引出相应的算法设计思想,并对算法的正确性、复杂性进行恰当的分析、论证必油相苏千。《算法设计》(影印版)覆盖的排耐依翻你孔镇风三面较宽,凡属串行算法的经典论题都有涉及,并且论又项敌象解重加觉群输述深入有新意。全书共200多道丰富而精彩的地个洋领特系习题是《算法设计》(影印版)的重要组成部分,也是《算法设计》(影印版)的突出特色之一。

图书目录

  About the Authors

  Preface

  Introduction: Some Representative Pro弱善触blems

  1.1 A First Problem: Stable Matching

  1.2 Fi达超施内零病社承观统ve Representative Problems

  Solved Exercises

 片历波 Exercises

  Notes and Further Reading

  Basi何县少济象短承述cs of Algorit味编乎岁hm Ana/ys/s

  2.1 Computational Tractability

  2.2 Asymptotic Order o草线娘米镇f Growth

  2.3 Implementing the Stable Matching Algorithm Using Lists and Arrays

  2.4 A Survey 书钢血of Common Running Times

  2.5 A More Complex Data Structure: Priority Queues

  So民效急lved Exercises

  Exercises

  Notes and Further Reading

  3 Graphs

  3.1 临乐完映父足Basic Definitions and Applications

  3.2 Graph Connectivity and Graph Traversal

  3.3 I即风皮究mplementing Graph Traversal Using Queues and Stacks

  3.4 Testing Bipaniteness: An Application of Breadth-First Search

 办员贵城口六友围负额甲 3.5 Connectivity in Directed Graphs

  3.6 Directed Acyclic Graphs and Topological Ordering

  Solved Exercises

  Exercises

  Notes and Further Reading

  4 Greedy Algorithms

  4.1 Interval Scheduling: The Greedy Algorithm Stays Ahead

  4.2 Scheduling to Minimize Lateness: An Exchange Argument

  4.3 Optimal Caching: A More Complex Exchange Argument

  4.4 Shortest Paths in a Graph

  4.5 The Minimum Spanning Tree Problem

  4.6 Implementing Kruskal's Algorithm: The Union-Find Data Structure

  4.7 Clustering

  4.8 Huffman Codes and Data Compression

  * 4.9 Minimum-Cost Arborescences: A Multi-Phase Greedy Algorithm

  Solved Exercises

  Exercises

  Notes and Further Reading

  5 D/v/de and Corn/net

  5.1 A First Recurrence: The Mergesort Algorithm

  5.2 Further Recurrence Relations

  5.3 Counting Inversions

  5.4 Finding the Closest Pair of Points

  5.5 Integer Multiplication

  5.6 Convolutions and the Fast Fourier Transform

  Solved Exercises

  Exercises

  Notes and Further Reading

  6 Dynamic Programming

  6.1 Weighted Interval Scheduling: A Recursive Procedure

  6.2 Principles of Dynamic Programming: Memoization or Iteration over Subproblems

  6.3 Segmented Least Squares: Multi-way Choices

  6.4 Subset Sums and Knapsacks: Adding a Variable

  6.5 RNA Secondary Structure: Dynamic Programming over Intervals

  6.6 Sequence Alignment

  6.7 Sequence Alignment in Linear Space via Divide and Conquer

  6.8 Shortest Paths in a Graph

  6.9 Shortest Paths and Distance Vector Protocols

  * 6.10 Negative Cycles in a Graph

  Solved Exercises

  Exercises

  Notes and Further Reading

  Network Flora

  7.1 The Maximum-Flow Problem and the Ford-Fulkerson Algorithm

  7.2 Maximum Flows and Minimum Cuts in a Network

  7.3 Choosing Good Augmenting Paths

  * 7.4 The Preflow-Push Maximum-Flow Algorithm

  7.5 A First Application: The Bipartite Matching Problem

  7.6 Disjoint Paths in Directed and Undirected Graphs

  7.7 Extensions to the Maximum-Flow Problem

  7.8 Survey Design

  7.9 Airline Scheduling

  7.10 Image Segmentation

  7.11 Project Selection

  7.12 Baseball Elimination

  * 7.1.3 A Further Direction: Adding Costs to the Matching Problem Solved Exercises

  Exercises

  Notes and Further Reading

  NP and Computational Intractability

  8.1 Polynomial-Time Reductions

  8.2 Reductions via "Gadgets": The Safisfiability Problem

  8.3 Efficient Certification and the Definition of NP

  8.4 NP-Complete Problems

  8.5 Sequencing Problems

  8.6 Partitioning Problems

  8.7 Graph Coloring

  8.8 Numerical Problems

  8.9 Co-NP and the Asymmetry of NP

  8.10 A Partial Taxonomy of Hard Problems

  Solved Exercises

  Exercises

  Notes and Further Reading

  9 PSPACE: A Class of Problems beyond NP

  9.1 PSPACE

  9.2 Some Hard Problems in PSPACE

  9.3 Solving Quantified Problems and Games in Polynomial Space

  9.4 Solving the Planning Problem in Polynomial Space

  9.5 Proving Problems PSPACE-Complete

  Solved Exercises

  Exercises

  Notes and Further Reading

  10 Extending the Limits of Tractability

  10.1 Finding Small Vertex Covers

  10.2 Solving NP-Hard Problems on Trees

  10.3 Coloring a Set of Circular Arcs

  * 10.4 Tree Decompositions of Graphs

  * 10.5 Constructing a Tree Decomposition

  Solved Exercises

  Exercises

  Notes and Further Reading

  11 Approximation Algorithms

  11.1 Greedy Algorithms and Bounds on the Optimum: A Load Balancing Problem

  11.2 The Center Selection Problem

  11.3 Set Cover: A General Greedy Heuristic

  11.4 The Pricing Method: Vertex Cover

  11.5 Maximization via the Pricing Method: The Disjoint Paths Problem

  11.6 Linear Programming and Rounding: An Application to Vertex Cover

  * 11.7 Load Balancing Revisited: A More Advanced LP Application

  11.8 Arbitrarily Good Approximations: The Knapsack Problem

  Solved Exercises

  Exercises

  Notes and Further Reading

  Local Search

  12.1 The Landscape of an Optimization Problem

  12.2 The Metropolis Algorithm and Simulated Annealing

  12.3 An Application of Local Search to Hopfield Neural Networks

  12.4 Maximum-Cut Approximation via Local Search

  12.5 Choosing a Neighbor Relation

  12.6 Classification via Local Search

  12.7 Best-Response Dynamics and Nash Equilibria

  Solved Exercises

  Exercises

  Notes and Further Reading

  Randomized Algorithms

  13.1 A First Application: Contention Resolution

  13.2 Finding the Global Minimum Cut

  13.3 Random Variables and Their Expectations

  13.4 A Randomized Approximation Algorithm for MAX 3-SAT

  13.5 Randomized Divide and Conquer: Median-Finding and Quicksort

  13.6 Hashing: A Randomized Implementation of Dictionaries

  13.7 Finding the Closest Pair of Points: A Randomized Approach

  13.8 Randomized Caching

  13.9 Chernoff Bounds

  13.10 Load Balancing

  13.11 Packet Routing

  13.12 Background: Some Basic Probability Definitions

  Solved Exercises

  Exercises

  Notes and Further Reading

  Epilogue: Algorithms That Run Forever

  References

  Index

作者简介

  作者:(美)克莱因伯格 塔多斯

  Jon Kleinberg is a professor of Computer Science at Cornell Un来自iversity. He received his Ph.D. from M.I.T. in 1996. He is the recipient of an NSF Career Award, an ONR Young Investigator Award, an IBM Outstanding Innov360百科ation Award, 度起海虽由制质负旧赵轮the National Academy of Sciences Award for Initiatives in Research, research fel破阶升由哪汉好助lowships from the Packard and Sloan Foundations, and teaching awards from the 哪席治战清包米导Cornell Engineering College and Computer Science Depa脚未rtment.

  Kleinberg's research is centered around algorithms, particularly those concerned with the structure of networks and informa派室刑雷tion, and with 听采师铁附省化applications to information science, optimization, data mining, and computational biology. His work on network analysis using hubs and authorities helped form the foundation for the current generation of Inte杨创加沿团rn

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