References analysis of the Wikipedia article "Four color theorem" in the English version

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From Gonthier (2008): "Definitions: A planar map is a set of pairwise disjoint subsets of the plane, called regions. A simple map is one whose regions are connected open sets. Two regions of a map are adjacent if their respective closures have a common point that is not a corner of the map. A point is a corner of a map if and only if it belongs to the closures of at least three regions. Theorem: The regions of any simple planar map can be colored with only four colors, in such a way that any two adjacent regions have different colors." Gonthier, Georges (2008), "Formal Proof—The Four-Color Theorem" (PDF), Notices of the American Mathematical Society, 55 (11): 1382–1393, MR 2463991, archived (PDF) from the original on 2011-08-05

Swart (1980). Swart, Edward Reinier (1980), "The philosophical implications of the four-color problem", American Mathematical Monthly, vol. 87, no. 9, Mathematical Association of America, pp. 697–702, doi:10.2307/2321855, JSTOR 2321855, MR 0602826

Wilson (2014), 216–222. Wilson, Robin (2014) [2002], Four Colors Suffice, Princeton Science Library, Princeton, New Jersey: Princeton University Press, ISBN 978-0-691-15822-8, MR 3235839

Thomas (1998, p. 849); Wilson (2014)). Thomas, Robin (1998), "An Update on the Four-Color Theorem" (PDF), Notices of the American Mathematical Society, vol. 45, no. 7, pp. 848–859, MR 1633714, archived (PDF) from the original on 2000-09-29 Wilson, Robin (2014) [2002], Four Colors Suffice, Princeton Science Library, Princeton, New Jersey: Princeton University Press, ISBN 978-0-691-15822-8, MR 3235839

Wilson (2014), p. 12. Wilson, Robin (2014) [2002], Four Colors Suffice, Princeton Science Library, Princeton, New Jersey: Princeton University Press, ISBN 978-0-691-15822-8, MR 3235839

Thomas (1998), p. 848. Thomas, Robin (1998), "An Update on the Four-Color Theorem" (PDF), Notices of the American Mathematical Society, vol. 45, no. 7, pp. 848–859, MR 1633714, archived (PDF) from the original on 2000-09-29

Wilson (2014), pp. 139–142. Wilson, Robin (2014) [2002], Four Colors Suffice, Princeton Science Library, Princeton, New Jersey: Princeton University Press, ISBN 978-0-691-15822-8, MR 3235839

Wilson (2014), pp. 145–146. Wilson, Robin (2014) [2002], Four Colors Suffice, Princeton Science Library, Princeton, New Jersey: Princeton University Press, ISBN 978-0-691-15822-8, MR 3235839

Wilson (2014, pp. 105–107); Appel & Haken (1989); Thomas (1998, pp. 852–853) Wilson, Robin (2014) [2002], Four Colors Suffice, Princeton Science Library, Princeton, New Jersey: Princeton University Press, ISBN 978-0-691-15822-8, MR 3235839 Appel, Kenneth; Haken, Wolfgang (1989), Every Planar Map is Four-Colorable, Contemporary Mathematics, vol. 98, With the collaboration of J. Koch., Providence, Rhode Island: American Mathematical Society, doi:10.1090/conm/098, ISBN 0-8218-5103-9, MR 1025335, S2CID 8735627 Thomas, Robin (1998), "An Update on the Four-Color Theorem" (PDF), Notices of the American Mathematical Society, vol. 45, no. 7, pp. 848–859, MR 1633714, archived (PDF) from the original on 2000-09-29

Appel & Haken (1989). Appel, Kenneth; Haken, Wolfgang (1989), Every Planar Map is Four-Colorable, Contemporary Mathematics, vol. 98, With the collaboration of J. Koch., Providence, Rhode Island: American Mathematical Society, doi:10.1090/conm/098, ISBN 0-8218-5103-9, MR 1025335, S2CID 8735627

Wilson (2014), p. 153. Wilson, Robin (2014) [2002], Four Colors Suffice, Princeton Science Library, Princeton, New Jersey: Princeton University Press, ISBN 978-0-691-15822-8, MR 3235839

Wilson (2014), p. 150. Wilson, Robin (2014) [2002], Four Colors Suffice, Princeton Science Library, Princeton, New Jersey: Princeton University Press, ISBN 978-0-691-15822-8, MR 3235839

Wilson (2014), p. 157. Wilson, Robin (2014) [2002], Four Colors Suffice, Princeton Science Library, Princeton, New Jersey: Princeton University Press, ISBN 978-0-691-15822-8, MR 3235839

Wilson (2014), p. 165. Wilson, Robin (2014) [2002], Four Colors Suffice, Princeton Science Library, Princeton, New Jersey: Princeton University Press, ISBN 978-0-691-15822-8, MR 3235839

Thomas (1995); Robertson et al. (1996). Thomas, Robin (1995), The Four Color Theorem Robertson, Neil; Sanders, Daniel P.; Seymour, Paul; Thomas, Robin (1996), "Efficiently four-coloring planar graphs", Proceedings of the 28th ACM Symposium on Theory of Computing (STOC 1996), pp. 571–575, doi:10.1145/237814.238005, ISBN 0-89791-785-5, MR 1427555, S2CID 14962541

Thomas (1998), pp. 852–853. Thomas, Robin (1998), "An Update on the Four-Color Theorem" (PDF), Notices of the American Mathematical Society, vol. 45, no. 7, pp. 848–859, MR 1633714, archived (PDF) from the original on 2000-09-29

Thomas (1999); Pegg et al. (2002). Thomas, Robin (1999), "Recent Excluded Minor Theorems for Graphs", in Lamb, John D.; Preece, D. A. (eds.), Surveys in combinatorics, 1999, London Mathematical Society Lecture Note Series, vol. 267, Cambridge: Cambridge University Press, pp. 201–222, doi:10.1017/CBO9780511721335, ISBN 0-521-65376-2, MR 1725004 Pegg, Ed Jr.; Melendez, J.; Berenguer, R.; Sendra, J. R.; Hernandez, A.; Del Pino, J. (2002), "Book Review: The Colossal Book of Mathematics" (PDF), Notices of the American Mathematical Society, 49 (9): 1084–1086, Bibcode:2002ITED...49.1084A, doi:10.1109/TED.2002.1003756, archived (PDF) from the original on 2003-04-09

Gonthier (2008). Gonthier, Georges (2008), "Formal Proof—The Four-Color Theorem" (PDF), Notices of the American Mathematical Society, 55 (11): 1382–1393, MR 2463991, archived (PDF) from the original on 2011-08-05

Steinberg, Richard (1993), "The state of the three color problem", in Gimbel, John; Kennedy, John W.; Quintas, Louis V. (eds.), Quo Vadis, Graph Theory?, Annals of Discrete Mathematics, vol. 55, Amsterdam: North-Holland, pp. 211–248, doi:10.1016/S0167-5060(08)70391-1, ISBN 978-0-444-89441-0, MR 1217995

Gethner, Ellen (2018), "To the Moon and beyond", in Gera, Ralucca; Haynes, Teresa W.; Hedetniemi, Stephen T. (eds.), Graph Theory: Favorite Conjectures and Open Problems, II, Problem Books in Mathematics, Springer International Publishing, pp. 115–133, doi:10.1007/978-3-319-97686-0_11, ISBN 978-3-319-97684-6, MR 3930641

Wilson (2014), p. 15. Wilson, Robin (2014) [2002], Four Colors Suffice, Princeton Science Library, Princeton, New Jersey: Princeton University Press, ISBN 978-0-691-15822-8, MR 3235839

Bar-Natan (1997). Bar-Natan, Dror (1997), "Lie algebras and the four color theorem", Combinatorica, 17 (1): 43–52, arXiv:q-alg/9606016, doi:10.1007/BF01196130, MR 1466574, S2CID 2103049

Wilson (2014), 2. Wilson, Robin (2014) [2002], Four Colors Suffice, Princeton Science Library, Princeton, New Jersey: Princeton University Press, ISBN 978-0-691-15822-8, MR 3235839

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books.google.com

There is some mathematical folk-lore that Möbius originated the four-color conjecture, but this notion seems to be erroneous. See Biggs, Norman; Lloyd, E. Keith; Wilson, Robin J. (1986), Graph Theory, 1736–1936, Oxford University Press, p. 116, ISBN 0-19-853916-9 & Maddison, Isabel (1897), "Note on the history of the map-coloring problem", Bull. Amer. Math. Soc., 3 (7): 257, doi:10.1090/S0002-9904-1897-00421-9

F. G. (1854); McKay (2012) F. G. (June 10, 1854), "Tinting Maps", The Athenaeum: 726. McKay, Brendan D. (2012), A note on the history of the four-colour conjecture, arXiv:1201.2852, Bibcode:2012arXiv1201.2852M

doi.org

Hudson (2003). Hudson, Hud (May 2003), "Four Colors Do Not Suffice", The American Mathematical Monthly, 110 (5): 417–423, doi:10.2307/3647828, JSTOR 3647828

Tait (1880). Tait, P. G. (1880), "Remarks on the colourings of maps", Proc. R. Soc. Edinburgh, 10: 729, doi:10.1017/S0370164600044643

Dailey, D. P. (1980), "Uniqueness of colorability and colorability of planar 4-regular graphs are NP-complete", Discrete Mathematics, 30 (3): 289–293, doi:10.1016/0012-365X(80)90236-8

Reed & Allwright 2008; Magnant & Martin (2011) Reed, Bruce; Allwright, David (2008), "Painting the office", Mathematics-in-Industry Case Studies, 1: 1–8, archived from the original on 2013-02-03, retrieved 2011-07-11 Magnant, C.; Martin, D. M. (2011), "Coloring rectangular blocks in 3-space", Discussiones Mathematicae Graph Theory, 31 (1): 161–170, doi:10.7151/dmgt.1535

Bar-Natan (1997). Bar-Natan, Dror (1997), "Lie algebras and the four color theorem", Combinatorica, 17 (1): 43–52, arXiv:q-alg/9606016, doi:10.1007/BF01196130, MR 1466574, S2CID 2103049

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Hudson (2003). Hudson, Hud (May 2003), "Four Colors Do Not Suffice", The American Mathematical Monthly, 110 (5): 417–423, doi:10.2307/3647828, JSTOR 3647828

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Four color theorem (English Wikipedia)

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