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B. Aronov, J. Pach, M. Sharir, and G. Tardos.
Distinc distances in three and higher dimensions.
Combinatorics, Probability and Computing, 13:283-293, 2004.
http://www.renyi.hu/~tardos/ or
http://www.cs.umd.edu/~gasarch/erdos_dist/erdos_dist.html.
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F. Chung.
The number of different distances determined by
points in the
plane.
Journal of Combinatorial Theory, Series A, 36:342-354, 1984.
http://math.ucsd.edu/~fan/ or
http://www.cs.umd.edu/~gasarch/erdos_dist/erdos_dist.html.
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F. Chung, E. Szemerédi, and W. Trotter.
The number of different distances determined by a set of points in
the Euclidean plane.
Discrete & Computational Geometry, 7:1-11, 1992.
http://math.ucsd.edu/~fan/ or
http://www.cs.umd.edu/~gasarch/erdos_dist/erdos_dist.html.
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P. Erdös.
On sets of distances of
points.
The American Mathematical Monthly, 53:248-250, 1946.
http://www.cs.umd.edu/~gasarch/erdos_dist/erdos_dist.html or
http://www.jstor.org/.
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J.Solymosi and C.D.Toth.
Distinct distances in the plane.
Discrete & Computational Geometry, 25:629-634, 2001.
http://www.cs.umd.edu/~gasarch/erdos_dist/erdos_dist.html or
http://citeseer.ist.psu.edu/.
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N. Katz and G. Tardos.
A new entropy inequality for the Erdös distance problem.
In Towards a theory of Geometric Graphs, volume 342 of Contemporary Mathematics. American Mathematical Society, 2004.
http://www.renyi.hu/~tardos/ or
http://www.cs.umd.edu/~gasarch/erdos_dist/erdos_dist.html.
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L. Moser.
On the different distances determined by
points.
The American Mathematical Monthly, 59:85-91, 1952.
http://www.cs.umd.edu/~gasarch/erdos_dist/erdos_dist.html or
http://www.jstor.org/.
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J. Pach and M. Sharir.
Combinatorial geometry and its algorithmic applications.
American Mathematical Society, 2009.
book 152 in a series called Mathematical surveys and
Monographs.
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J. Solymosi and V. Vu.
Distinct distances in high dimensions.
In Towards a theory of Geometric Graphs, volume 342 of Contemporary Mathematics. American Mathematical Society, 2004.
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J. Solymosi and V. Vu.
Near optimal bounds for the Erdos distinct distances problem in
high dimensions.
Combinatorica, 28:113-125, 2008.
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L. Székely.
Crossing numbers and hard Erdös problems in discrete geometry.
Combinatorics, Probability and Computing, 11:1-10, 1993.
http://www.cs.umd.edu/~gasarch/erdos_dist/erdos_dist.html.
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G. Tardos.
On distinct distances and distinct distances.
Advances in Mathematics, 180:275-289, 2003.
http://www.renyi.hu/~tardos/ or
http://www.cs.umd.edu/~gasarch/erdos_dist/erdos_dist.html.
William Gasarch
2009-08-28