Home > Thorme de La Thorie Des Graphes: Thorme Des Quatre Couleurs, Thorie de Ramsey, Thorme Des Graphes Parfaits, Thorme de Vizing(French)
Thorme de La Thorie Des Graphes: Thorme Des Quatre Couleurs, Thorie de Ramsey, Thorme Des Graphes Parfaits, Thorme de Vizing(French)

Thorme de La Thorie Des Graphes: Thorme Des Quatre Couleurs, Thorie de Ramsey, Thorme Des Graphes Parfaits, Thorme de Vizing(French)

          
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About the Book

Les achats comprennent une adhsion l'essai gratuite au club de livres de l'diteur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur: Thorme Des Quatre Couleurs, Thorie de Ramsey, Thorme Des Graphes Parfaits, Thorme de Vizing, Thorme Flot-Max/coupe-Min, Thorme de Hall, Conjecture D'erd?s-Burr, Thorme de Knig, Conjecture D'hadwiger, Thorme de Menger. Non illustr. Mises jour gratuites en ligne. Extrait: Le thorme des quatre couleurs indique qu'il est possible, en n'utilisant que quatre couleurs diffrentes, de colorer n'importe quelle carte dcoupe en rgions connexes, de sorte que deux rgions adjacentes (ou limitrophes), c'est--dire ayant toute une frontire (et non simplement un point) en commun reoivent toujours deux couleurs distinctes. L'nonc peut varier et concerner, de manire tout fait quivalente, la coloration des faces d'un polydre, ou des sommets d'un graphe planaire. Trivialement, chacune des rgions doit recevoir une couleur diffrente si les rgions sont deux deux adjacentes; c'est le cas par exemple de la Belgique, du Luxembourg, de l'Allemagne et de la France dans une carte politique de l'Europe. D'o la ncessit des quatre couleurs dans le cas gnral. Par ailleurs, il ne peut exister cinq rgions connexes deux deux adjacentes (c'est la partie facile du thorme de Kuratowski). Lorsqu'on gnralise le problme un graphe quelconque, il devient NP-complet de dterminer s'il est colorable avec seulement 4 couleurs (et mme 3). Le rsultat fut conjectur en 1852 par Francis Guthrie, intress par la coloration de la carte des rgions d'Angleterre. La premire mention publie date toutefois de 1879. Deux premires dmonstrations furent publies, respectivement par Alfred Kempe en 1879 et Peter Guthrie Tait en 1880. Mais elles s'avrrent errones; les erreurs ont t releves seulement en 1890 par Pe...http: //booksllc.net/?l=fr


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Product Details
  • ISBN-13: 9781159991197
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • No of Pages: 40
  • Series Title: French
  • Sub Title: Thorme Des Quatre Couleurs, Thorie de Ramsey, Thorme Des Graphes Parfaits, Thorme de Vizing
  • Width: 229 mm
  • ISBN-10: 1159991197
  • Publisher Date: 08 Aug 2010
  • Binding: Paperback
  • Language: French
  • Returnable: N
  • Spine Width: 2 mm
  • Weight: 73 gr


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