MathDB
172 two-way direct airways between 20 cities

Source: Germany Federal - Bundeswettbewerb Mathematik 1990, round 1, p3

February 21, 2020
combinatorics

Problem Statement

There are 172172 two-way direct airways between 2020 cities, at most one between any two cities. Prove that one can reach any city from any other city with at most one transfer.