The Star-Critical Weakened Gallai-Ramsey Number $gr_*^{2,t}(C_5)$

Mark Budden

Abstract


In this paper, we prove that the star-critical weakened Gallai-Ramsey number $gr_*^{2,t}(C_5)=t$, for all $t\ge 3$. In the process, it is shown that the crtical coloring for $gr^{2,t}(C_5)$ is unique up to isomorphism or reordering of the colors.


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