MathDB
Graph with no K_5

Source: China Mathematical Olympiad 2015 Q5

December 21, 2014
combinatorics proposedcombinatorics

Problem Statement

Given 3030 students such that each student has at most 55 friends and for every 55 students there is a pair of students that are not friends, determine the maximum kk such that for all such possible configurations, there exists kk students who are all not friends.