Parallel algorithm for matroid basis computation with O(n^{1/3} log^{1/3} n) round complexity, nearly matching the KUW lower bound.
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2026 2verdicts
UNVERDICTED 2representative citing papers
The authors obtain an O(log m)-approximation for the coverage problem (tight, as it generalizes set cover) and the first non-trivial O(log² m)-approximation for the connectivity problem via LP relaxation and randomized rounding.
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A Near-Optimal Parallel Algorithm for Finding Matroid Bases
Parallel algorithm for matroid basis computation with O(n^{1/3} log^{1/3} n) round complexity, nearly matching the KUW lower bound.
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Polylogarithmic Approximation for Covering and Connecting Multi-Interface Networks
The authors obtain an O(log m)-approximation for the coverage problem (tight, as it generalizes set cover) and the first non-trivial O(log² m)-approximation for the connectivity problem via LP relaxation and randomized rounding.