Geodesic
Euler formula and maps on surfaces
The Teaching of Mathematics, XIV (2011) no. 2, p. 107 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

This paper is addressed primarily to those high school students with an intensive interest in mathematics, who are often in search for some extra reading materials not being on school curriculum, as well as to their teachers. We have chosen to offer here a material elaborating how the Euler formula could be used to establish non-planarity of some graphs, and results about the colorings of maps on surfaces.
Classification : 1AMS97I60 2ZDMI65
Keywords: Euler formula, planar and non-planar graphs, coloring of maps. 
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     author = {Sini\v{s}a T. Vre\'cica},
     title = {Euler formula and maps on surfaces},
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Siniša T. Vrećica. Euler formula and maps on surfaces. The Teaching of Mathematics, XIV (2011) no. 2, p. 107 . http://geodesic.mathdoc.fr/item/TM2_2011_XIV_2_a5/