ISSN 1234-3099 (print version)

ISSN 2083-5892 (electronic version)

Discussiones Mathematicae Graph Theory

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Discussiones Mathematicae Graph Theory


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


Izolda Gorgol

Department of Applied Mathematics
Lublin University of Technology
Nadbystrzycka 38, 20-618 Lublin, Poland


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