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Better Tradeoffs for Exact Distance Oracles in Planar Graphs
[article]
2017
arXiv
pre-print
We present an O(n^1.5)-space distance oracle for directed planar graphs that answers distance queries in O( n) time. Our oracle both significantly simplifies and significantly improves the recent oracle of Cohen-Addad, Dahlgaard and Wulff-Nilsen [FOCS 2017], which uses O(n^5/3)-space and answers queries in O( n) time. We achieve this by designing an elegant and efficient point location data structure for Voronoi diagrams on planar graphs. We further show a smooth tradeoff between space and
arXiv:1708.01386v1
fatcat:226uixbxvjd3zeofowwtraj5au