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Existence of Graphs with High Girth and High Chromatic Number

Existence of Graphs with High Girth and High Chromatic Number

Published 2 months, 1 week ago
Description

MIT 18.226 Probabilistic Methods in Combinatorics, Fall 2024
Instructor: Yufei Zhao

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

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