Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4649993 | Discrete Mathematics | 2008 | 8 Pages |
Abstract
The planar Ramsey number PR(H1,H2) is the smallest integer n such that any planar graph on n vertices contains a copy of H1 or its complement contains a copy of H2. It is known that the Ramsey number R(C4,K7)=22. The planar Ramsey numbers PR(C4,Kl) for lâ¤6 are known. In this paper we show that PR(C4,K7)=20.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Sun Yongqi, Yang Yuansheng, Lin Xiaohui, Song Yanan,