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Diapositivas para la charla "El teorema de cuatro colores" para el curso CM-254 en FC-UNI, 18 de junio del 2018.

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El teorema de los cuatro colores

Este repositorio contiene el código fuente de la presentación:

Curso: Introducción a la matemática discreta CM-254.

Profesor: MSc. Ronald Mas Huaman.

Asesor: MSc. Fidel Jara Huanca.

Fecha: 18 de junio del 2018.

Aula: R1 - 401.

Integrantes del equipo:

  • Oromion Aznarán.
  • Franss Cruz.
  • José Navío.
  • Gabriel Quiroz.

Resumen

La presente presentación trata sobre la historia del teorema de los cuatro colores.

Tabla de contenidos

  1. Introducción
  2. Acontecimientos importantes en la historia del teorema
  3. Aplicaciones
  4. Conclusiones

Referencias

[1] Appel, Kenneth, and Wolfgang Haken. 1977. “The Solution of the Four-Color-Map Problem.” Scientific American 237 (4). Scientific American, a division of Nature America, Inc.: 108–21.

[2] Birkhoff, George D. 1913. “The Reducibility of Maps.” American Journal of Mathematics 35 (2). Johns Hopkins University Press: 115–28.

[3] Combinatorics, and Optimization University of Waterloo. 2017a. “SiGMa 2017 László Miklós Lovász, Extremal Graph Theory and Finite Forcibility.” https://www.youtube.com/watch?v=OfPf4qA1x_k.

[4] “SiGMa 2017 Paul Seymour, Rainbow Induced Paths in Graphs with Large Chromatic and Small Clique Number.” https://www.youtube.com/watch?v=CnxmwDuYpX8.

[5] Fritsch, Rudolf, and Gerda Fritsch. 1998. The Four-Color Theorem: History, Topological Foundations, and Idea of Proof. Springer.

[6] Kempe, Alfred Bray. 1879. “On the Geographical Problem of the Four Colours.” American Journal of Mathematics 2 (3). Johns Hopkins University Press: 193–200.

[7] Matoušek, Jiří, and Jaroslav Nešetřil. 2009. Invitation to Discrete Mathematics. Oxford University Press.

[8] Robertson, Neil, Daniel Sanders, Paul Seymour, and Robin Thomas. 1997. “The Four-Colour Theorem.” Journal of Combinatorial Theory, Series B 70 (1). Elsevier: 2–44.

[9] Thomas, Robin. 1995. “The Four Color Theorem.” http://people.math.gatech.edu/~thomas/FC/.

[10] Vilfred Kamalappan, V. 2017. “The Four Color Theorem: A New Proof by Induction.”

Licencia

Licencia bajo GPL V2

CC BY

Las diapositivas compiladas: pdf.

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Diapositivas para la charla "El teorema de cuatro colores" para el curso CM-254 en FC-UNI, 18 de junio del 2018.

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