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Keyword: edge-labeled graphs ×Clear all

2 claims from 1 paper

1. Mathematics › Limits and Structures in Graph Theory

   On edge-ordered Ramsey numbers

   Fox and Li · Repository of the Academy's Library (Library of the Hungarian Academy of Sciences) · 2019

   Unchecked2 claims
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   1. Unchecked“We prove that for every edge-ordered graph $H$ on $n$ vertices, we have $r_{edge}(H;q) \leq 2^{c^qn^{2q-2}\log^q n}$, where $c$ is an absolute constant.”
   2. Unchecked“We also explore the edge-ordered Ramsey number of sparser graphs and prove a polynomial bound for edge-ordered graphs of bounded degeneracy.”