MathDB
Combinatorics problem from Turkey TST

Source: Turkey TST 2017 Problem 2

April 7, 2017
combinatorics

Problem Statement

There are two-way flights between some of the 20172017 cities in a country, such that given two cities, it is possible to reach one from the other. No matter how the flights are appointed, one can define kk cities as "special city", so that there is a direct flight from each city to at least one "special city". Find the minimum value of kk.