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- W3196355459 abstract "We consider the problem of building distance sensitivity oracles (DSOs). Given a directed graph G=(V,E) with edge weights in {1,2,…,M}, we need to preprocess it into a data structure, and answer the following queries: given vertices u,v∈V and a failed vertex or edge f∈(V∪E), output the length of the shortest path from u to v that does not go through f. Our main result is a simple DSO with O˜(n2.7233M) preprocessing time and O(1) query time. Moreover, if the input graph is undirected, the preprocessing time can be improved to O˜(n2.6865M). The preprocessing algorithm is randomized with correct probability ≥1−1/nC, for a constant C that can be made arbitrarily large. This improves the previous best DSO with O˜(n2.8729M) preprocessing time and polylog(n) query time [STOC'20]." @default.
- W3196355459 created "2021-09-13" @default.
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- W3196355459 date "2022-02-01" @default.
- W3196355459 modified "2023-10-16" @default.
- W3196355459 title "Improved distance sensitivity oracles with subcubic preprocessing time" @default.
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- W3196355459 doi "https://doi.org/10.1016/j.jcss.2021.08.005" @default.
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