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We address the single source shortest path planning problem (SSSP) in thecase of floating point edge weights. We show how any integer based Dijkstrasolution that relies on a monotone integer priority queue to create a fullordering over path lengths in order to solve integer SSSP can be used as anoracle to solve floating point SSSP with positive edge weights (floating pointP-SSSP). Floating point P-SSSP is of particular interest to the roboticscommunity. This immediately yields a handful of faster runtimes for floatingpoint P-SSSP; for example, ${O({m + n\log \log \frac{C}{\delta}})}$, where $C$is the largest weight and $\delta$ is the minimum edge weight in the graph. Italso ensures that many future advances for integer SSSP will be transferable tofloating point P-SSSP.

On Solving Floating Point SSSP Using an Integer Priority Queue