MathDB
Rainbow vertices

Source: Iran 3rd round 2012-Combinatorics exam-P1

September 20, 2012
algorithmcombinatorics proposedcombinatorics

Problem Statement

We've colored edges of KnK_n with n1n-1 colors. We call a vertex rainbow if it's connected to all of the colors. At most how many rainbows can exist?
Proposed by Morteza Saghafian