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239 Open MO, 2018, Senior League, Problem 8

Source: 239 Open MO, 2018, Senior League, Problem 8

April 4, 2023
combinatoricsgraph theory

Problem Statement

Graph GG becomes planar when any vertex is removed. Prove that its vertices can be properly colored with 5 colors. (Using the four-color theorem without proof is not allowed!)
Proposed by D. Karpov