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Approximate Distance Oracles (2001)  (Make Corrections)  (43 citations)
Mikkel Thorup, Uri Zwick
ACM Symposium on Theory of Computing



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Abstract: Let G = (V, E) be an undirected weighted graph with = n and 1 be an integer. We show that G = (V, E) can be preprocessed in O(kmn ) expected time, constructing a data structure of size O(kn ), such that any subsequent distance query can be answered, approximately, in O(k) time. (Update)

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BibTeX entry:   (Update)

Mikkel Thorup and Uri Zwick. Approximate distance oracles. In 33 rd Annual ACM Symposium on Theory of Computing (STOC), pages 183-192, Hersonissos, Crete, Greece, July 2001. http://citeseer.ist.psu.edu/thorup01approximate.html   More

@inproceedings{ thorup01approximate,
    author = "Mikkel Thorup and Uri Zwick",
    title = "Approximate distance oracles",
    booktitle = "{ACM} Symposium on Theory of Computing",
    pages = "183-192",
    year = "2001",
    url = "citeseer.ist.psu.edu/thorup01approximate.html" }
Citations (may not include all citations):
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837   Cambridge University Press (context) - Motwani, Raghavan - 1995
358   Universal classes of hash functions (context) - Carter, Wegman - 1979
354   A note on two problems in connexion with graphs (context) - Dijkstra - 1959
353   Fibonacci heaps and their uses in improved network optimizat.. (context) - Fredman, Tarjan - 1987
170   The geometry of graphs and some of its algorithmic applicati.. - Linial, London et al. - 1995
148   Storing a sparse table with O (context) - Fredman, Komlos et al. - 1984
148   Ramanujan graphs (context) - Lubotzky, Phillips et al. - 1988
109   the shortest spanning subtree of a graph and the traveling s.. (context) - Kruskal - 1956
74   Extremal graph theory (context) - Bollobas - 1978
68   Explicit group--theoretical construction of combinatorial sc.. (context) - Margulis - 1988
64   Routing with polynomial communication-space trade-o - Awerbuch, Peleg - 1992
59   External memory algorithms and data structures: Dealing with.. - Vitter - 2001
51   On sparse spanners of weighted graphs (context) - Althofer, Das et al. - 1993

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