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Status: Unchecked ×Keyword: Ramsey property ×Clear all

1 claim from 1 paper

1. Mathematics › Limits and Structures in Graph Theory

   Vertex Ramsey properties of randomly perturbed graphs

   Das, Morris and Treglown · Random Structures and Algorithms · 2020

   The paper studies vertex Ramsey properties of randomly perturbed graphs, meaning dense graphs with random edges added, and settles the question for all pairs of graphs involving at least one clique.

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   1. UncheckedThe paper determines how many random edges added to a dense graph make it vertex-Ramsey with high probability, for all pairs where F or H is a clique.“In particular, we determine how many random edges one needs to add to a dense graph to ensure that with high probability the resulting graph is $(F,H)_v$-Ramsey for all pairs $(F,H)$ that involve at least one clique.”