Hadwiger–Nelson problem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Hadwiger–Nelson problem" in English language version.

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6doi.org

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Beckman & Quarles (1953). Beckman, F. S.; Quarles, D. A. Jr. (1953), "On isometries of Euclidean spaces", Proceedings of the American Mathematical Society, 4 (5): 810–815, doi:10.2307/2032415, JSTOR 2032415, MR 0058193
Rassias (2001). Rassias, Themistocles M. (2001), "Isometric mappings and the problem of A. D. Aleksandrov for conservative distances", in Florian, H.; Ortner, N.; Schnitzer, F. J.; Tutschke, W. (eds.), Functional-Analytic and Complex Methods, their Interactions, and Applications to Partial Differential Equations: Proceedings of the International Workshop held at Graz University Of Technology, Graz, February 12–16, 2001, River Edge, New Jersey: World Scientific Publishing Co., Inc., pp. 118–125, doi:10.1142/4822, ISBN 978-981-02-4764-5, MR 1893253
de Grey (2018). de Grey, Aubrey D.N.J. (2018), "The Chromatic Number of the Plane Is at least 5", Geombinatorics, 28: 5–18, arXiv:1804.02385, Bibcode:2016arXiv160407134W, MR 3820926
Coulson (2002); Radoičić & Tóth (2003). Coulson, D. (2002), "A 15-colouring of 3-space omitting distance one", Discrete Math., 256 (1–2): 83–90, doi:10.1016/S0012-365X(01)00183-2 Radoičić, Radoš; Tóth, Géza (2003), "Note on the chromatic number of the space", in Aronov, Boris; Basu, Saugata; Pach, Janos; Sharir, Micha (eds.), Discrete and Computational Geometry: The Goodman–Pollack Festschrift (PDF), Algorithms and Combinatorics, vol. 25, Berlin: Springer, pp. 695–698, doi:10.1007/978-3-642-55566-4_32, ISBN 978-3-540-00371-7, MR 2038498
Woodall (1973); see also Coulson (2004) for a different proof of a similar result. Woodall, D. R. (1973), "Distances realized by sets covering the plane", Journal of Combinatorial Theory, Series A, 14 (2): 187–200, doi:10.1016/0097-3165(73)90020-4, MR 0310770 Coulson, D. (2004). "On the chromatic number of plane tilings". Journal of the Australian Mathematical Society. 77 (2). Cambridge University Press (CUP): 191–196. doi:10.1017/s1446788700013574. ISSN 1446-7887.

arxiv.org

de Grey (2018). de Grey, Aubrey D.N.J. (2018), "The Chromatic Number of the Plane Is at least 5", Geombinatorics, 28: 5–18, arXiv:1804.02385, Bibcode:2016arXiv160407134W, MR 3820926

bme.hu

cs.bme.hu

Coulson (2002); Radoičić & Tóth (2003). Coulson, D. (2002), "A 15-colouring of 3-space omitting distance one", Discrete Math., 256 (1–2): 83–90, doi:10.1016/S0012-365X(01)00183-2 Radoičić, Radoš; Tóth, Géza (2003), "Note on the chromatic number of the space", in Aronov, Boris; Basu, Saugata; Pach, Janos; Sharir, Micha (eds.), Discrete and Computational Geometry: The Goodman–Pollack Festschrift (PDF), Algorithms and Combinatorics, vol. 25, Berlin: Springer, pp. 695–698, doi:10.1007/978-3-642-55566-4_32, ISBN 978-3-540-00371-7, MR 2038498

doi.org

Soifer (2008), pp. 557–563; Shelah & Soifer (2003). Soifer, Alexander (2008), The Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of its Creators, New York: Springer, ISBN 978-0-387-74640-1 Shelah, Saharon; Soifer, Alexander (2003), "Axiom of choice and chromatic number of the plane", Journal of Combinatorial Theory, Series A, 103 (2): 387–391, doi:10.1016/S0097-3165(03)00102-X
Beckman & Quarles (1953). Beckman, F. S.; Quarles, D. A. Jr. (1953), "On isometries of Euclidean spaces", Proceedings of the American Mathematical Society, 4 (5): 810–815, doi:10.2307/2032415, JSTOR 2032415, MR 0058193
Rassias (2001). Rassias, Themistocles M. (2001), "Isometric mappings and the problem of A. D. Aleksandrov for conservative distances", in Florian, H.; Ortner, N.; Schnitzer, F. J.; Tutschke, W. (eds.), Functional-Analytic and Complex Methods, their Interactions, and Applications to Partial Differential Equations: Proceedings of the International Workshop held at Graz University Of Technology, Graz, February 12–16, 2001, River Edge, New Jersey: World Scientific Publishing Co., Inc., pp. 118–125, doi:10.1142/4822, ISBN 978-981-02-4764-5, MR 1893253
Coulson (2002); Radoičić & Tóth (2003). Coulson, D. (2002), "A 15-colouring of 3-space omitting distance one", Discrete Math., 256 (1–2): 83–90, doi:10.1016/S0012-365X(01)00183-2 Radoičić, Radoš; Tóth, Géza (2003), "Note on the chromatic number of the space", in Aronov, Boris; Basu, Saugata; Pach, Janos; Sharir, Micha (eds.), Discrete and Computational Geometry: The Goodman–Pollack Festschrift (PDF), Algorithms and Combinatorics, vol. 25, Berlin: Springer, pp. 695–698, doi:10.1007/978-3-642-55566-4_32, ISBN 978-3-540-00371-7, MR 2038498
Frankl & Wilson (1981). Frankl, P.; Wilson, R.M. (1981), "Intersection theorems with geometric consequences", Combinatorica, 1 (4): 357–368, doi:10.1007/BF02579457, S2CID 6768348
Woodall (1973); see also Coulson (2004) for a different proof of a similar result. Woodall, D. R. (1973), "Distances realized by sets covering the plane", Journal of Combinatorial Theory, Series A, 14 (2): 187–200, doi:10.1016/0097-3165(73)90020-4, MR 0310770 Coulson, D. (2004). "On the chromatic number of plane tilings". Journal of the Australian Mathematical Society. 77 (2). Cambridge University Press (CUP): 191–196. doi:10.1017/s1446788700013574. ISSN 1446-7887.

dustingmixon.wordpress.com

Mixon (2021). Mixon, Dustin (February 1, 2021), Polymath16, seventeenth thread: Declaring victory, retrieved 16 August 2021

gilkalai.wordpress.com

Kalai (2018); Aaronson (2018) Kalai, Gil (April 10, 2018), Aubrey de Grey: The chromatic number of the plane is at least 5

harvard.edu

ui.adsabs.harvard.edu

de Grey (2018). de Grey, Aubrey D.N.J. (2018), "The Chromatic Number of the Plane Is at least 5", Geombinatorics, 28: 5–18, arXiv:1804.02385, Bibcode:2016arXiv160407134W, MR 3820926

jstor.org

Beckman & Quarles (1953). Beckman, F. S.; Quarles, D. A. Jr. (1953), "On isometries of Euclidean spaces", Proceedings of the American Mathematical Society, 4 (5): 810–815, doi:10.2307/2032415, JSTOR 2032415, MR 0058193

semanticscholar.org

api.semanticscholar.org

Frankl & Wilson (1981). Frankl, P.; Wilson, R.M. (1981), "Intersection theorems with geometric consequences", Combinatorica, 1 (4): 357–368, doi:10.1007/BF02579457, S2CID 6768348

worldcat.org

Woodall (1973); see also Coulson (2004) for a different proof of a similar result. Woodall, D. R. (1973), "Distances realized by sets covering the plane", Journal of Combinatorial Theory, Series A, 14 (2): 187–200, doi:10.1016/0097-3165(73)90020-4, MR 0310770 Coulson, D. (2004). "On the chromatic number of plane tilings". Journal of the Australian Mathematical Society. 77 (2). Cambridge University Press (CUP): 191–196. doi:10.1017/s1446788700013574. ISSN 1446-7887.