Author

Patrick Schmitteckert

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Preprint Oct 2026

Non-isomorphic graphs have distinct vertex-Ramsey classes

For a graph $H$, its $k$-colour vertex Ramsey class is the set of all graphs $G$ such that any colouring of the vertices of $G$ in $k$ colours results in a monochromatic (induced) copy of $H$. We prove that for any $k$, Ramsey classes of any non-isomorphic graphs are distinct.

M. Axenovich, Patrick Schmitteckert · 0 citations