NC algorithms for EF1 with any constant number of agents, O(log m) depth for two agents, and RNC for EFk allocations up to k approximately sqrt(m).
Procaccia and Warut Suksompong , title =
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Improved Parallel Algorithms for EF1 Allocations
NC algorithms for EF1 with any constant number of agents, O(log m) depth for two agents, and RNC for EFk allocations up to k approximately sqrt(m).