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Constant Factor Approximations to Edit Distance in Nearly Linear Time
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- 1 Intro
- 2 Approx ED
- 3 Main Result
- 4 Approximating ED
- 5 Partition strings into windows
- 6 Step 0: Reduction to non-crossing matching
- 7 Note: this step crucially uses triangle inequality!
- 8 Step 1: Dense graphs via triangle inequality
- 9 Sparse graphs via "seed-and-expand"
- 10 Union of disjoint bl-cliques
- 11 Searching for matches [KS]
- 12 Sparse case CDGKS
- 13 Dense case CDGKS
- 14 Multiple levels - sparse case [KS]
- 15 Recap