Le théorème du coloriage des cartes (ex-conjecture de Heawood et conjecture des quatre couleurs)
Séminaire Bourbaki : vol. 1977/78, exposés 507-524, Séminaire Bourbaki, no. 20 (1979), Exposé no. 509, 24 p. 
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     author = {Fournier, Jean-Claude},
     title = {Le th\'eor\`eme du coloriage des cartes (ex-conjecture de {Heawood} et conjecture des quatre couleurs)},
     booktitle = {S\'eminaire Bourbaki : vol. 1977/78, expos\'es 507-524},
     series = {S\'eminaire Bourbaki},
     note = {talk:509},
     pages = {41--64},
     year = {1979},
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     url = {https://www.numdam.org/item/SB_1977-1978__20__41_0/}
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Fournier, Jean-Claude. Le théorème du coloriage des cartes (ex-conjecture de Heawood et conjecture des quatre couleurs), dans Séminaire Bourbaki : vol. 1977/78, exposés 507-524, Séminaire Bourbaki, no. 20 (1979), Exposé no. 509, 24 p.. https://www.numdam.org/item/SB_1977-1978__20__41_0/

[1] A.B. Kempe - On the geographical problem of the four colours, Amer. J. Math., 2(1879), 193-200. | MR

[2] P.J. Heawood - Map colour theorem, Quart. J. Math., 24(1890), 332-338. | JFM

[3] G.D. Birkhoff - The reducibility of maps, Amer. J. Math., 35(1913), 114-128. | MR | JFM

[4] H. Lebesgue - Quelques conséquences simples de la formule d'Euler, J. de Math., 9, Sér. 19 (1940), 27-43. | MR | JFM

[5] G.A. Dirac - Map-colour theorems, Can. J. Math., 4(1952), 480-490. Repris dans Short proof of a map-colour theorem, Can. J. Math., 9(1957), 225-226. | Zbl | MR

[6] G.A. Dirac - Map-colour theorems related to the Heawood colour formula, J. Lond. Math. Soc., 31(1956), 460-471 et 32(1957), 436-455. | Zbl | MR

[17] H. Hadwiger - Ungelöste Probleme, Element. Math., 13(1958), 127-128. | EuDML

[8] K. Wagner - Bemerkungen zur Hadwigers Vermutung, Math. Annalen, 141(1960), 433- 451. | Zbl | MR | EuDML

[9] J. W . T . Youngs - Minimal imbeddings and the genus of a graph, J. Math. Mech., 12(1963), 303-314. | Zbl | MR

[10] W. Gustin - Orientable embedding of Cayley graphs, Bull. Amer. Math. Soc., 69 (1963), 272-275. | Zbl | MR

[11] O. Ore - The four-color problem, Pure and Applied Maths., 27, Acad. Press New York-London, 1967. | Zbl | MR

[12] J. W. T .Youngs - The Heawood map-colouring conjecture, Chapter 12 in Graph Theory and Theoretical physics (F. Harary ed.), Acad. Press New York- London, 1967, 313-354. | Zbl | MR

[13] W. Mader - Homomorphiesätze für Graphen, Math. Annalen, 178(1968), 154-168. | Zbl | MR

[14] H. Heesch - Untersuchungen zum Vierfarbenproblem, B.I. Hochschulskripten 810/810a/810b, Bibliographische Institute Mannheim-Vienna-Zürich, 1969. | Zbl | MR

[15] N. Biggs - Classification of complete maps on orientable surfaces, Rend. Matematica (VI), 4(1971), 645-655. | Zbl | MR

[16] H. Mahnke - The necessity of non-abelian groups in the case 0 of the Heawood map-coloring theorem, J. Comb.Theory, 13(1972), 263-265. | Zbl | MR

[17] W. Tutte - H. Whitney - Kempe chains and the four color problem, Utilitas Mathemetica, 2(1972), 241-281. | Zbl | MR

[18] G. Ringel - Map color theorem, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen Band 209, Springer-Verlag, Berlin-New York, 1974, 191 pages. | Zbl | MR

[19] M. Jungerman - Orientable triangular embeddings of K18 - K3 and K13 - K3 , J. Comb. Theory (B),16(1974), 293-294. | Zbl | MR

[20] J.L. Gross - Voltage graphs, Discrete Mathematics, 9(1974), 239-246. | Zbl | MR

[21] J.L. Gross - T.W. Tucker - Quotients of complete graphs : revisiting the Heawood map-colouring problem, Pacific J. Math., 55(1974), 391-402. | Zbl | MR

[22] M. Jungerman - The genus of K - K2 , J. Comb. Theory (B),18(1975), 53-58. | Zbl | MR

[23] M. Jungerman - A new solution for the non-orientable case 1 of the Heawood map color theorem, J. Comb. Theory (B),19(1975), 69-71. | Zbl | MR

[24] S.R. Alpert - J.L. Gross - Components of branched coverings of current graphs, J. Comb. Theory (B), 20(1976), 283-303. | Zbl | MR

[25] G. Ringel - The combinatorial map color theorem, J. Graph Theory 1 (Summer 1977), 141-155. | Zbl | MR

[26] K. Appel-W. Haken - Every planar map is four colorable, Part I : discharging, Part II : reducibility, Illinois J. Math. | MR

[27] K. Appel - W. Haken - J. Mayer - Triangulations à V5 séparés dans le problème des quatre couleurs. | Zbl

[28] R. Ringel - Non-existence of graph embeddings, Theory and Applications of graphs, Springer-Verlag. | Zbl

[29] M. Jungerman - D.J. Pengelley - Index four orientable embeddings and case zero of the Heawood conjecture, J. Comb. Theory (B) ∼ August 1978. | Zbl

[30] J.L. Gross - T.W. Tucker - Generating all graph coverings by permutation voltage assignments. | Zbl