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Discussiones Mathematicae Graph Theory 25(1-2) (2005)
45-50
DOI: https://doi.org/10.7151/dmgt.1258
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.
References
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Received 24 October 2003
Revised 13 January 2005
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