importantSYS.SOURCE: arXiv• 2026-07-21T17:59:29Z

Proving Greedy Algorithm Optimality in Single-Pass Semi-Streaming Matching

#data-structures-algorithms #computational-complexity #graph-theory

The paper proves that no single-pass semi-streaming algorithm can achieve better than a 50% approximation for maximum matching, establishing the greedy algorithm's optimality. This resolves a two-decade open problem in graph streaming and online matching with preemption.

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