MathDB

Let

V

be a set of

2019

points in space where any of the four points are not on the same plane, and

E

be the set of edges connected between them. Find the smallest positive integer

n

satisfying the following condition: if

E

has at least

n

elements, then there exists

908

two-element subsets of

E

such that [*]The two edges in each subset share a common vertice, [*]Any of the two subsets do not intersect.

Problem Statement