Combinatorial Algorithms

By Jeff Erickson

This pdf book contains senior-level algorithms for computer engineering students. They are
  • Notes on solving recurrences
  • Introduction
  • Divide and conquer
  • Dynamic programming
  • Randomization: Nuts and bolts
  • Randomized treaps
  • Randomized mincut
  • Uniform and universal hashing
  • Skip lists
  • Amortized analysis
  • Scapegoat trees and splay trees
  • Union-find
  • Fibonacci heaps
  • Graph algorithms
  • Representing and searching graphs
  • Single-source shortest paths
  • All-pairs shortest paths
  • Minimum spanning trees
  • Seminumerical algorithms
  • Fast Fourier transforms
  • Number-theoretic algorithms
  • String matching
  • String matching: Rabin-Karp
  • String matching: Knuth-Morris-Pratt
  • Computational Geometry
  • Convex hulls
  • Plane sweep algorithms
  • Polygon triangulation
  • Lower bounds
  • Information theory
  • Adversary arguments
  • Reductions and transformations
  • NP-hard, NP-easy, and NP-complete problems

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