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- W2150410057 abstract "We study a novel separator property called k-path separable. Roughly speaking, a k-path separable graph can be recursively separated into smaller components by sequentially removing k shortest paths. Our main result is that every minor free weighted graph is k-path separable. We then show that k-path separable graphs can be used to solve several object location problems: (1) a small-worldization with an average poly-logarithmic number of hops; (2) an (1 + ε)-approximate distance labeling scheme with O(log n) space labels; (3) a stretch-(1 + ε) compact routing scheme with tables of poly-logarithmic space; (4) an (1 + ε)-approximate distance oracle with O(n log n) space and O(log n) query time. Our results generalizes to much wider classes of weighted graphs, namely to bounded-dimension isometric sparable graphs." @default.
- W2150410057 created "2016-06-24" @default.
- W2150410057 creator A5013587418 @default.
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- W2150410057 date "2006-07-23" @default.
- W2150410057 modified "2023-10-11" @default.
- W2150410057 title "Object location using path separators" @default.
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- W2150410057 doi "https://doi.org/10.1145/1146381.1146411" @default.
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