~/talk

Parallelism in Dynamic Graph Algorithms

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Shows concrete parallel algorithms and costs: a batch incremental MST that prunes and compresses the tree with an RC-tree hierarchy and runs in about k log(n/k) work and polylog span, a method for mixed offline sequences of updates and queries that executes in k log n work with polylog depth by merging timestamps through the balanced RC/top-tree, and a concurrent streaming design using partial copying and persistence that gives wait-free queries and constant-time updates while providing consistent snapshots.

AI-written summary Β· about

  1. 0:00Introduction
  2. 1:06Motivation for parallelism
  3. 8:45Batch parallel connectivity
  4. 10:55Link-cut trees and MST
  5. 27:45Batch incremental MST
  6. 31:43Mixed updates and queries
  7. 42:20Concurrent updates with persistence
  8. 57:23Open problems
  9. 58:52Summary
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