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Graph theory

Source: Bulgarian IMO TST 2004, Day 3, Problem 2

July 8, 2013
combinatorics proposedcombinatoricsRamsey Theorygraph theory

Problem Statement

The edges of a graph with 2n2n vertices (n4n \ge 4) are colored in blue and red such that there is no blue triangle and there is no red complete subgraph with nn vertices. Find the least possible number of blue edges.