The Design and Analysis of Algorithms

The Design and Analysis of Algorithms PDF Free Download

Book Description:

These are my lecture notes from CS681: Design and Analysis of Algo­ rithms, a one-semester graduate course I taught at Cornell for three consec­ utive fall semesters from ’88 to ’90. The course serves a dual purpose: to cover core material in algorithms for graduate students in computer science preparing for their PhD qualifying exams, and to introduce theory students to some advanced topics in the design and analysis of algorithms. The material is thus a mixture of core and advanced topics. At first I meant these notes to supplement and not supplant a textbook, but over the three years they gradually took on a life of their own. In addition to the notes, I depended heavily on the texts • A. V. Aho, J. E. Hopcroft, and J. D. Ullman, The Design and Analysis of Computer Algorithms. Addison-Wesley, 1975. • M. R. Garey and D. S. Johnson, Computers and Intractibility: A Guide to the Theory of NP-Completeness. w. H. Freeman, 1979. • R. E. Tarjan, Data Structures and Network Algorithms. SIAM Regional Conference Series in Applied Mathematics 44, 1983. and still recommend them as excellent references.

Table of contents :

Algorithms and Their Complexity
Topological Sort and MST
Matroids and Independence
Depth-First and Breadth-First Search
Shortest Paths and Transitive Closure
Kleene Algebra
More on Kleene Algebra
Binomial Heaps
Fibonacci Heaps
Union-Find
Analysis of Union-Find
Splay Trees
Random Search Trees
Planar and Plane Graphs
The Planar Separator Theorem
Max Flow
More on Max Flow
Still More on Max Flow
Matching
More on Matching
Reductions and NP-Completeness
More on Reductions and NP-Completeness
More NP-Complete Problems
Still More NP-Complete Problems
Cook’s Theorem
Counting Problems and #P
Counting Bipartite Matchings
Parallel Algorithms and NC
Hypercubes and the Gray Representation
Integer Arithmetic in NC
Csanky’s Algorithm
Chistov’s Algorithm
Matrix Rank
Linear Equations and Polynomial GCDs
The Fast Fourier Transform (FFT)
Luby’s Algorithm
Analysis of Luby’s Algorithm
Miller’s Primality Test
Analysis of Miller’s Primality Test
Probabilistic Tests with Polynomials

 

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The Design and Analysis of Algorithms

Author(s): Dexter C. Kozen

Series: Texts and Monographs in Computer Science

Publisher: Springer, Year: 1992

ISBN: 978-1-4612-8757-5,978-1-4612-4400-4

 


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