(Enter summary)
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):
3972
Introduction to algorithms (context) - Cormen, Leiserson et al. - 2001
957
The probabilistic method (context) - Alon, Spencer - 1992
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
44
Compact routing schemes
- Thorup, Zwick - 2001
37
A reliable randomized algorithm for the closest-pair problem (context) - Dietzfelbinger, Hagerup et al. - 1997
37
Journal of Graph Theory (context) - Peleg, Scha et al. - 1989
34
Distance labeling in graphs
- Gavoille, Peleg et al. - 2001
33
Finding the hidden path: time bounds for all-pairs shortest ..
- Karger, Koller et al. - 1993
32
Undirected single-source shortest paths with positive intege..
- Thorup - 1999
28
Fast estimation of diameter and shortest paths (context) - Aingworth, Chekuri et al. - 1999
28
Sublinear time algorithms for metric space problems
- Indyk - 1999
27
Fast algorithms for constructing t-spanners and paths with s.. (context) - Cohen - 1999
24
Distributed computing -- A locality-sensitive approach (context) - Peleg - 2000
24
Cycles of even length in graphs (context) - Bondy, Simonovits - 1974
20
Minimal regular graphs of girth eight and twelve (context) - Benson - 1966
19
All pairs almost shortest paths
- Dor, Halperin et al. - 2000
19
Near-linear time construction of sparse neighborhood covers (context) - Awerbuch, Berger et al. - 1999
18
Compact oracles for reachability and approximate distances i.. (context) - Thorup - 2001
17
a problem of graph theory (context) - Erdos, Renyi et al. - 1966
17
A tight bound on approximating arbitrary metrics by tree met..
- Fakcharoenphol, Rao et al. - 2003
17
All-pairs small-stretch paths
- Cohen, Zwick - 2001
16
All pairs shortest paths in undirected graphs with integer w..
- Shoshan, Zwick - 1999
15
A new series of dense graphs of high girth (context) - Lazebnik, Ustimenko et al. - 1995
14
Proximity-preserving labeling schemes (context) - Peleg - 2000
13
Uber ein Problem von K (context) - Reiman - 1958
13
On graphs that do not contain a Thomsen graph (context) - Brown - 1966
13
All-pairs shortest paths and the essential subgraph (context) - McGeoch - 1995
12
Sur la trialite et certains groupes qui s'en deduisent (context) - Tits - 1959
12
Even strongly universal hashing is pretty fast (context) - Thorup - 2000
10
The Moore bound for irregular graphs
- Alon, Hoory et al. - 2002
9
A characterization of the components of the graphs D (context) - Lazebnik, Ustimenko et al. - 1996
9
volume 212 of Graduate Texts in Mathematics (context) - Matousek, discrete - 2002
8
Extremal problems in graph theory (context) - Erdos - 1964
8
Extremal graphs with no C (context) - Wenger
7
On approximating arbitrary metrices by tree metrics (context) - Bartal - 1999
7
and single source shortest paths (context) - Thorup, integers - 2000
6
Spanner constructions for general graphs (context) - Elkin, Peleg - 2001
6
Shortest paths in digraphs of small treewidth (context) - Chaudhuri, Zaroliagis - 2000
5
the distortion required for embedding finite metric spaces i.. (context) - Matousek - 1996
5
Unpublished result (context) - Halperin, Zwick - 1996
4
witnesses for boolean matrix multiplication (context) - Alon, Naor - 1996
4
A simple linear time algorithm for computing (context) - Baswana, Sen - 2003
4
New examples of graphs without small cycles and of large siz.. (context) - Lazebnik, Ustimenko - 1991
3
Preprocessing an undirected planar network to enable fast ap.. (context) - Klein - 2002
3
On Libschitz embedding of finite metric spaces in hilbert sp.. (context) - Bourgain - 1985
2
Computing almost shortest paths (context) - Elkin - 2001
2
Approximate distance oracles for unweighted graphs in O (context) - Baswana, Sen - 2004
2
A dictionary implementaion based on dynamic perfect hashing (context) - Dietzfelbinger, Hune - 1996
1
Approximate distance oracles revisited (context) - Gudmundson, Levcopoulos et al. - 2002
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.math.tau.ac.il/~zwick/online-papers.html): More
All-Pairs Small-Stretch Paths - Cohen, Zwick (1997)
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The Memory Game - Zwick, Paterson
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All Pairs Almost Shortest Paths - Dor, Halperin, Zwick (1997)
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