Comptes Rendus
no. 6
Combinatorics/Geometry
Gallai triangles in configurations of lines in the projective plane
the Editorial Board
Juan García Escudero1
1Universidad de Oviedo, Facultad de Ciencias, 33007 Oviedo, Spain
Comptes Rendus. Mathématique, Volume 354 (2016) no. 6, pp. 551-554

A question by Paul Erdős about the existence of Gallai triangles in arrangements of d real lines in the projective plane, with no more than three lines incident to each vertex, is answered in the negative for all d higher than three.

La note répond négativement à une question posée par Paul Erdős concernant l'existence de triangles de Gallai dans les configurations de d droites réelles du plan projective, dans la situation où d>3 et où au plus trois droites concourent en chaque sommet.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2016.03.003

Juan García Escudero  1

1 Universidad de Oviedo, Facultad de Ciencias, 33007 Oviedo, Spain 
Juan García Escudero. Gallai triangles in configurations of lines in the projective plane. Comptes Rendus. Mathématique, Volume 354 (2016) no. 6, pp. 551-554. doi: 10.1016/j.crma.2016.03.003
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