MathDB
Unlucky Graph with 13 colors

Source: 2024 Turkey EGMO TST P3

February 12, 2024
graph theorycombinatorics

Problem Statement

Initially, all edges of the K2024K_{2024} are painted with 1313 different colors. If there exist kk colors such that the subgraph constructed by the edges which are colored with these kk colors is connected no matter how the initial coloring was, find the minimum value of kk.