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This episode presents a deterministic algorithm for the single-source shortest path (SSSP) problem on directed graphs with non-negative edge weights, operating within the comparison-addition model. The core contribution is achieving an O(m log^(2/3) n) time complexity, which is the first to surpass Dijkstra's algorithm's O(m + n log n) bound on sparse graphs, demonstrating that Dijkstra's is not optimal for SSSP.
By Fourth MindThis episode presents a deterministic algorithm for the single-source shortest path (SSSP) problem on directed graphs with non-negative edge weights, operating within the comparison-addition model. The core contribution is achieving an O(m log^(2/3) n) time complexity, which is the first to surpass Dijkstra's algorithm's O(m + n log n) bound on sparse graphs, demonstrating that Dijkstra's is not optimal for SSSP.