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Instance and Output Optimal Parallel Algorithms for Acyclic Joins

Summary: Instance-optimal MPC algorithms for r-hierarchical acyclic joins; a new MPC algorithm for arbitrary acyclic joins with load O(IN/p + sqrt(IN·OUT)/p), improving the MPC Yannakakis bound. Proves output-optimality when OUT=O(p·IN) for non-r-hierarchical joins and gives the first output-sensitive MPC lower bound for the triangle, showing triangles are inherently harder. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
1760
Venue
PODS
Year
2019
Pagerank
5.980172e-05
Overall Rank
4,708 | 67.25%
DOI
10.1145/3294052.3319698

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