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Impact:
⚡ Faster GPS recalculations
🚦 Smoother traffic flow
📦 Cheaper deliveries
🌐 Quicker network routing

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🚨 41 years in the making — and Dijkstra is no longer unbeatable.
A Tsinghua, Stanford, and MPI for Informatics team has achieved the first deterministic algorithm to break the O(m + n log n) bound for single-source shortest paths in directed graphs with real non-negative weights.
💡 New runtime: O(m log^(2/3) n)
📜 Old best: Dijkstra + Fibonacci heap = O(m + n log n)
The key? A hybrid of Dijkstra’s “frontier” idea and Bellman-Ford’s relaxation, with a recursive frontier-partition trick that keeps the heap tiny — dodging the classic sorting barrier.
Impact:
⚡ Faster GPS recalculations
🚦 Smoother traffic flow
📦 Cheaper deliveries
🌐 Quicker network routing
📚 Time to rewrite the algorithms chapter on SSSP
First real speedup for directed SSSP since 1984 — and it’s deterministic.

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