Article ID Journal Published Year Pages File Type
9513552 Discrete Mathematics 2005 11 Pages PDF
Abstract
We study the Ramsey number R(Wm,Sn) for a star Sn on n vertices and a wheel Wm on m+1 vertices. We show that the Ramsey number R(Wm,Sn)=3n-2 for n=m,m+1, and m+2, where m⩾7 and odd. In addition, we give the following lower bound for R(Wm,Sn) where m is even: R(Wm,Sn)⩾2n+1 for all n⩾m⩾6.
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
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