MathDB
at most 3n-6 segments by n distinct points under conditions

Source: 1976 German Federal - Bundeswettbewerb Mathematik - BWM - Round 1 p4

November 20, 2022
geometrycombinatoricscombinatorial geometry

Problem Statement

In a plane are given n>2n > 2 distinct points. Some pairs of these points are connected by segments so that no two of the segments intersect. Prove that there are at most 3nāˆ’63n-6 segments.