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Incremental View Maintenance 1

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Presents a concrete maintenance strategy for triangle queries that splits each relation into heavy/light partitions, materializes a few pairwise joins as auxiliary views and uses delta queries with periodic rebalancing to get amortized update time O(N^{max(ε,1−ε)}) and space that trades off to O(N^{3/2}) at worst; setting ε=1/2 yields O(N^{1/2}) amortized updates, matching a conditional OuMv-based lower bound; mentions a DBToaster-style higher-order view approach and notes prototype implementations but says practical tuning is ongoing.

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  1. 0:00Introduction
  2. 0:51Setting
  3. 2:58Incremental View Maintenance
  4. 5:11Agenda
  5. 6:25Data Model
  6. 20:12Literature
  7. 27:38Lower Bounds
  8. 27:49Boolean Triangle Detection
  9. 33:50Algorithm B
  10. 35:49Encoding
  11. 51:21Update Time
  12. 52:59Maintenance Complexity
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