MathDB
Chromatic Bound for a Graph

Source: 239 2015 S P3

May 14, 2020
graphColoringcombinatorics

Problem Statement

The edges of a graph GG are coloured in two colours. Such that for each colour all the connected components of this graph formed by edges of this colour contains at most n>1n>1 vertices. Prove there exists a proper colouring for the vertices of this graph with nn colours.