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- W2951482005 abstract "For a given a graph, a distance oracle is a data structure that answers distance queries between pairs of vertices. We introduce an $O(n^{5/3})$-space distance oracle which answers exact distance queries in $O(log n)$ time for $n$-vertex planar edge-weighted digraphs. All previous distance oracles for planar graphs with truly subquadratic space i.e., space $O(n^{2 - epsilon})$ for some constant $epsilon > 0$) either required query time polynomial in $n$ or could only answer approximate distance queries. Furthermore, we show how to trade-off time and space: for any $S ge n^{3/2}$, we show how to obtain an $S$-space distance oracle that answers queries in time $O((n^{5/2}/ S^{3/2}) log n)$. This is a polynomial improvement over the previous planar distance oracles with $o(n^{1/4})$ query time." @default.
- W2951482005 created "2019-06-27" @default.
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- W2951482005 date "2017-02-10" @default.
- W2951482005 modified "2023-09-27" @default.
- W2951482005 title "Fast and Compact Exact Distance Oracle for Planar Graphs" @default.
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