Computer Science > Data Structures and Algorithms
arXiv:2606.24845 (cs)
[Submitted on 23 Jun 2026]
Abstract:We settle the classic question of the parallel complexity of computing a matroid basis, as first posed in the seminal work of Karp, Upfal, and Wigderson (FOCS 1985, JCSS 1988). Our algorithm runs in $O(n^{1/3}\log^{1/3}n)$ rounds, matching the lower bound of KUW up to a $\log^{2/3}(n)$ factor.
Submission history
From: Aaron (Louie) Putterman [view email]
[v1]
Tue, 23 Jun 2026 17:24:37 UTC (56 KB)
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