Erdős distinct distances problem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Erdős distinct distances problem" in English language version.

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10doi.org

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Garibaldi, Julia; Iosevich, Alex; Senger, Steven (2011), The Erdős Distance Problem, Student Mathematical Library, vol. 56, Providence, RI: American Mathematical Society, ISBN 978-0-8218-5281-1, MR 2721878
Guth, Larry; Katz, Nets Hawk (2015). "On the Erdős distinct distances problem in the plane". Annals of Mathematics. 181 (1): 155–190. arXiv:1011.4105. doi:10.4007/annals.2015.181.1.2. MR 3272924. Zbl 1310.52019.
Moser, Leo (1952). "On the different distances determined by $n$ points". American Mathematical Monthly. 59 (2): 85–91. doi:10.2307/2307105. JSTOR 2307105. MR 0046663.
Chung, Fan (1984). "The number of different distances determined by $n$ points in the plane" (PDF). Journal of Combinatorial Theory. Series A. 36 (3): 342–354. doi:10.1016/0097-3165(84)90041-4. MR 0744082.
Chung, Fan; Szemerédi, Endre; Trotter, William T. (1992). "The number of different distances determined by a set of points in the Euclidean plane" (PDF). Discrete & Computational Geometry. 7: 342–354. doi:10.1007/BF02187820. MR 1134448. S2CID 10637819.
Székely, László A. (1993). "Crossing numbers and hard Erdös problems in discrete geometry". Combinatorics, Probability and Computing. 11 (3): 1–10. doi:10.1017/S0963548397002976. MR 1464571. S2CID 36602807.
Solymosi, József; Tóth, Csaba D. (2001). "Distinct Distances in the Plane". Discrete & Computational Geometry. 25 (4): 629–634. doi:10.1007/s00454-001-0009-z. MR 1838423.
Tardos, Gábor (2003). "On distinct sums and distinct distances". Advances in Mathematics. 180 (1): 275–289. doi:10.1016/s0001-8708(03)00004-5. MR 2019225.
Katz, Nets Hawk; Tardos, Gábor (2004). "A new entropy inequality for the Erdős distance problem". In Pach, János (ed.). Towards a theory of geometric graphs. Contemporary Mathematics. Vol. 342. Providence, RI: American Mathematical Society. pp. 119–126. doi:10.1090/conm/342/06136. ISBN 978-0-8218-3484-8. MR 2065258.
Solymosi, József; Vu, Van H. (2008). "Near optimal bounds for the Erdős distinct distances problem in high dimensions". Combinatorica. 28: 113–125. doi:10.1007/s00493-008-2099-1. MR 2399013. S2CID 2225458.

arxiv.org

Guth, Larry; Katz, Nets Hawk (2015). "On the Erdős distinct distances problem in the plane". Annals of Mathematics. 181 (1): 155–190. arXiv:1011.4105. doi:10.4007/annals.2015.181.1.2. MR 3272924. Zbl 1310.52019.

doi.org

Erdős, Paul (1946). "On sets of distances of $n$ points" (PDF). American Mathematical Monthly. 53 (5): 248–250. doi:10.2307/2305092. JSTOR 2305092.
Guth, Larry; Katz, Nets Hawk (2015). "On the Erdős distinct distances problem in the plane". Annals of Mathematics. 181 (1): 155–190. arXiv:1011.4105. doi:10.4007/annals.2015.181.1.2. MR 3272924. Zbl 1310.52019.
Moser, Leo (1952). "On the different distances determined by $n$ points". American Mathematical Monthly. 59 (2): 85–91. doi:10.2307/2307105. JSTOR 2307105. MR 0046663.
Chung, Fan (1984). "The number of different distances determined by $n$ points in the plane" (PDF). Journal of Combinatorial Theory. Series A. 36 (3): 342–354. doi:10.1016/0097-3165(84)90041-4. MR 0744082.
Chung, Fan; Szemerédi, Endre; Trotter, William T. (1992). "The number of different distances determined by a set of points in the Euclidean plane" (PDF). Discrete & Computational Geometry. 7: 342–354. doi:10.1007/BF02187820. MR 1134448. S2CID 10637819.
Székely, László A. (1993). "Crossing numbers and hard Erdös problems in discrete geometry". Combinatorics, Probability and Computing. 11 (3): 1–10. doi:10.1017/S0963548397002976. MR 1464571. S2CID 36602807.
Solymosi, József; Tóth, Csaba D. (2001). "Distinct Distances in the Plane". Discrete & Computational Geometry. 25 (4): 629–634. doi:10.1007/s00454-001-0009-z. MR 1838423.
Tardos, Gábor (2003). "On distinct sums and distinct distances". Advances in Mathematics. 180 (1): 275–289. doi:10.1016/s0001-8708(03)00004-5. MR 2019225.
Katz, Nets Hawk; Tardos, Gábor (2004). "A new entropy inequality for the Erdős distance problem". In Pach, János (ed.). Towards a theory of geometric graphs. Contemporary Mathematics. Vol. 342. Providence, RI: American Mathematical Society. pp. 119–126. doi:10.1090/conm/342/06136. ISBN 978-0-8218-3484-8. MR 2065258.
Solymosi, József; Vu, Van H. (2008). "Near optimal bounds for the Erdős distinct distances problem in high dimensions". Combinatorica. 28: 113–125. doi:10.1007/s00493-008-2099-1. MR 2399013. S2CID 2225458.

gilkalai.wordpress.com

Guth and Katz’s Solution of Erdős’s Distinct Distances Problem, a guest post by János Pach on Gil Kalai's blog

jstor.org

Erdős, Paul (1946). "On sets of distances of $n$ points" (PDF). American Mathematical Monthly. 53 (5): 248–250. doi:10.2307/2305092. JSTOR 2305092.
Moser, Leo (1952). "On the different distances determined by $n$ points". American Mathematical Monthly. 59 (2): 85–91. doi:10.2307/2307105. JSTOR 2307105. MR 0046663.

renyi.hu

Erdős, Paul (1946). "On sets of distances of $n$ points" (PDF). American Mathematical Monthly. 53 (5): 248–250. doi:10.2307/2305092. JSTOR 2305092.

semanticscholar.org

api.semanticscholar.org

Chung, Fan; Szemerédi, Endre; Trotter, William T. (1992). "The number of different distances determined by a set of points in the Euclidean plane" (PDF). Discrete & Computational Geometry. 7: 342–354. doi:10.1007/BF02187820. MR 1134448. S2CID 10637819.
Székely, László A. (1993). "Crossing numbers and hard Erdös problems in discrete geometry". Combinatorics, Probability and Computing. 11 (3): 1–10. doi:10.1017/S0963548397002976. MR 1464571. S2CID 36602807.
Solymosi, József; Vu, Van H. (2008). "Near optimal bounds for the Erdős distinct distances problem in high dimensions". Combinatorica. 28: 113–125. doi:10.1007/s00493-008-2099-1. MR 2399013. S2CID 2225458.

terrytao.wordpress.com

The Guth-Katz bound on the Erdős distance problem, a detailed exposition of the proof, by Terence Tao

ucsd.edu

math.ucsd.edu

Chung, Fan (1984). "The number of different distances determined by $n$ points in the plane" (PDF). Journal of Combinatorial Theory. Series A. 36 (3): 342–354. doi:10.1016/0097-3165(84)90041-4. MR 0744082.
Chung, Fan; Szemerédi, Endre; Trotter, William T. (1992). "The number of different distances determined by a set of points in the Euclidean plane" (PDF). Discrete & Computational Geometry. 7: 342–354. doi:10.1007/BF02187820. MR 1134448. S2CID 10637819.

zbmath.org

Guth, Larry; Katz, Nets Hawk (2015). "On the Erdős distinct distances problem in the plane". Annals of Mathematics. 181 (1): 155–190. arXiv:1011.4105. doi:10.4007/annals.2015.181.1.2. MR 3272924. Zbl 1310.52019.