ILL 1977 Problem 4
We are given points in space. Some pairs of these points are connected by line segments so that the number of segments equals and a connected triangle exists. Prove that any point from which the maximal number of segments starts is a vertex of a connected triangle.
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.