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We give a deterministic O(mlog2/3n)-time algorithm for single-source shortest paths (SSSP) on directed graphs with real non-negative edge weights in the comparison-addition model. This is the first result to break the O(m+nlogn) time bound of Dijkstra’s algorithm on sparse graphs, showing that Dijkstra’s algorithm is not optimal for SSSP.
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## Development Details
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This project is mainly focused in implementations in C++ (std=c++20) and Javascript (in order to be published to npmjs.com via github Actions). It would be interesting to do the same to publish via pypi.org or crates.io.
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### Other Implementations
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Rust:
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-https://github.com/lucas-montes/bmssp - Available as a crate to pull.
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