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A note on the Size-Ramsey number of long subdivisions of graphs

A note on the Size-Ramsey number of long subdivisions of graphs

Let TsH be the graph obtained from a given graph H by subdividing each edge s times. Motivated by a problem raised by Igor Pak [Mixing time and long paths in graphs, in Proc. of the 13th annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2002) 321–328], we prove that, for …