The size Ramsey number of short subdivisions of bounded degree graphs

For graphs G and F, write G→(F)ℓ if any coloring of the edges of G with ℓ colors yields a monochromatic copy of the graph F. Suppose S(h) is obtained from a graph S with s vertices and maximum degree d by subdividing its edges h times (that is, by replacing the edges of S by paths of length h + 1)....

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Veröffentlicht in:	Random structures & algorithms 2019-03, Vol.54 (2), p.304-339
Hauptverfasser:	Kohayakawa, Yoshiharu, Retter, Troy, Rödl, Vojtěch
Format:	Artikel
Sprache:	eng
Schlagworte:	Apexes Coloring Graph theory Graphs probabilistic methods random graphs regularity method Size‐Ramsey numbers Subdivisions subdivisions of graphs
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