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Bundeswettbewerb Mathematik 1974 Problem 1.4

Source: Bundeswettbewerb Mathematik 1974 Round 1

October 16, 2022
polygoncombinatoricscycles

Problem Statement

All diagonals of a convex polygon are drawn. Prove that its sides and diagonals can be assigned arrows in such a way that no round trip along sides and diagonals is possible.