@incollection{SB_1977-1978__20__41_0, 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}, publisher = {Springer-Verlag}, number = {20}, year = {1979}, mrnumber = {554214}, zbl = {0437.05020}, language = {fr}, url = {http://www.numdam.org/item/SB_1977-1978__20__41_0/} }
TY - CHAP AU - Fournier, Jean-Claude TI - Le théorème du coloriage des cartes (ex-conjecture de Heawood et conjecture des quatre couleurs) BT - Séminaire Bourbaki : vol. 1977/78, exposés 507-524 AU - Collectif T3 - Séminaire Bourbaki N1 - talk:509 PY - 1979 SP - 41 EP - 64 IS - 20 PB - Springer-Verlag UR - http://www.numdam.org/item/SB_1977-1978__20__41_0/ LA - fr ID - SB_1977-1978__20__41_0 ER -
%0 Book Section %A Fournier, Jean-Claude %T Le théorème du coloriage des cartes (ex-conjecture de Heawood et conjecture des quatre couleurs) %B Séminaire Bourbaki : vol. 1977/78, exposés 507-524 %A Collectif %S Séminaire Bourbaki %Z talk:509 %D 1979 %P 41-64 %N 20 %I Springer-Verlag %U http://www.numdam.org/item/SB_1977-1978__20__41_0/ %G fr %F SB_1977-1978__20__41_0
Fournier, Jean-Claude. Le théorème du coloriage des cartes (ex-conjecture de Heawood et conjecture des quatre couleurs), in Séminaire Bourbaki : vol. 1977/78, exposés 507-524, Séminaire Bourbaki, no. 20 (1979), Talk no. 509, 24 p. http://www.numdam.org/item/SB_1977-1978__20__41_0/
[1] On the geographical problem of the four colours, Amer. J. Math., 2(1879), 193-200. | MR
-[2] Map colour theorem, Quart. J. Math., 24(1890), 332-338. | JFM
-[3] The reducibility of maps, Amer. J. Math., 35(1913), 114-128. | JFM | MR
-[4] Quelques conséquences simples de la formule d'Euler, J. de Math., 9, Sér. 19 (1940), 27-43. | JFM | MR
-[5] 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. | MR | Zbl
-[6] Map-colour theorems related to the Heawood colour formula, J. Lond. Math. Soc., 31(1956), 460-471 et 32(1957), 436-455. | MR | Zbl
-[17] Ungelöste Probleme, Element. Math., 13(1958), 127-128. | EuDML
-[8] Bemerkungen zur Hadwigers Vermutung, Math. Annalen, 141(1960), 433- 451. | EuDML | MR | Zbl
-[9] Minimal imbeddings and the genus of a graph, J. Math. Mech., 12(1963), 303-314. | MR | Zbl
-[10] Orientable embedding of Cayley graphs, Bull. Amer. Math. Soc., 69 (1963), 272-275. | MR | Zbl
-[11] The four-color problem, Pure and Applied Maths., 27, Acad. Press New York-London, 1967. | MR | Zbl
-[12] The Heawood map-colouring conjecture, Chapter 12 in Graph Theory and Theoretical physics (F. Harary ed.), Acad. Press New York- London, 1967, 313-354. | MR | Zbl
-[13] Homomorphiesätze für Graphen, Math. Annalen, 178(1968), 154-168. | MR | Zbl
-[14] Untersuchungen zum Vierfarbenproblem, B.I. Hochschulskripten 810/810a/810b, Bibliographische Institute Mannheim-Vienna-Zürich, 1969. | MR | Zbl
-[15] Classification of complete maps on orientable surfaces, Rend. Matematica (VI), 4(1971), 645-655. | MR | Zbl
-[16] The necessity of non-abelian groups in the case 0 of the Heawood map-coloring theorem, J. Comb.Theory, 13(1972), 263-265. | MR | Zbl
-[17] Kempe chains and the four color problem, Utilitas Mathemetica, 2(1972), 241-281. | MR | Zbl
- -[18] Map color theorem, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen Band 209, Springer-Verlag, Berlin-New York, 1974, 191 pages. | MR | Zbl
-[19] Orientable triangular embeddings of K18 - K3 and K13 - K3 , J. Comb. Theory (B),16(1974), 293-294. | MR | Zbl
-[20] Voltage graphs, Discrete Mathematics, 9(1974), 239-246. | MR | Zbl
-[21] Quotients of complete graphs : revisiting the Heawood map-colouring problem, Pacific J. Math., 55(1974), 391-402. | MR | Zbl
- -[22] The genus of K - K2 , J. Comb. Theory (B),18(1975), 53-58. | MR | Zbl
-[23] A new solution for the non-orientable case 1 of the Heawood map color theorem, J. Comb. Theory (B),19(1975), 69-71. | MR | Zbl
-[24] Components of branched coverings of current graphs, J. Comb. Theory (B), 20(1976), 283-303. | MR | Zbl
- -[25] The combinatorial map color theorem, J. Graph Theory 1 (Summer 1977), 141-155. | MR | Zbl
-[26] Every planar map is four colorable, Part I : discharging, Part II : reducibility, Illinois J. Math. | MR
-[27] Triangulations à V5 séparés dans le problème des quatre couleurs. | Zbl
- - -[28] Non-existence of graph embeddings, Theory and Applications of graphs, Springer-Verlag. | Zbl
-[29] Index four orientable embeddings and case zero of the Heawood conjecture, J. Comb. Theory (B) ∼ August 1978. | Zbl
- -[30] Generating all graph coverings by permutation voltage assignments. | Zbl
- -