Geodesic
Planar Ramsey numbers
Discussiones Mathematicae. Graph Theory, Tome 25 (2005) no. 1-2, pp. 45-50

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The planar Ramsey number PR(G,H) is defined as the smallest integer n for which any 2-colouring of edges of Kₙ with red and blue, where red edges induce a planar graph, leads to either a red copy of G, or a blue H. In this note we study the weak induced version of the planar Ramsey number in the case when the second graph is complete.
Keywords: Ramsey number, planar graph, induced subgraph 
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Gorgol, Izolda. Planar Ramsey numbers. Discussiones Mathematicae. Graph Theory, Tome 25 (2005) no. 1-2, pp. 45-50. http://geodesic.mathdoc.fr/item/DMGT_2005_25_1-2_a4/