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HomeMIT 18.226 Probabilistic Methods in Combinatorics, Fall 2024Existence of Graphs with High Girth and High Chromatic Number

Existence of Graphs with High Girth and High Chromatic Number

25:19

Application of the probabilistic method in combinatorics to graph theory. Proof of a classic and ingenious result of Erdős that there exists a graph with arbitrarily high girth and chromatic number.