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- W3125402912 abstract "Abstract The r ‐size‐Ramsey number of a graph H is the smallest number of edges a graph G can have such that for every edge‐coloring of G with r colors there exists a monochromatic copy of H in G . For a graph H , we denote by H q the graph obtained from H by subdividing its edges with q − 1 vertices each. In a recent paper of Kohayakawa, Retter and Rödl, it is shown that for all constant integers q , r ≥ 2 and every graph H on n vertices and of bounded maximum degree, the r ‐size‐Ramsey number of H q is at most , for n large enough. We improve upon this result using a significantly shorter argument by showing that for any such graph H ." @default.
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- W3125402912 date "2021-01-11" @default.
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- W3125402912 title "The size‐Ramsey number of short subdivisions" @default.
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- W3125402912 doi "https://doi.org/10.1002/rsa.20995" @default.
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