Discussiones Mathematicae Graph Theory 25(1-2) (2005) 45-50
doi: 10.7151/dmgt.1258

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PLANAR RAMSEY NUMBERS

Izolda Gorgol

Department of Applied Mathematics
Lublin University of Technology
Nadbystrzycka 38, 20-618 Lublin, Poland
e-mail: I.Gorgol@pollub.pl

Abstract

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.

2000 Mathematics Subject Classification: 05D10, 05C55.

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Received 24 October 2003
Revised 13 January 2005