For close to 40 years, a simple little hypothesis has been quietly sitting in a corner of graph theory, minding its own ...

To understand it, start with a graph: a collection of points, or vertices, connected by lines, or edges. Now make an exact copy of the graph and place it directly above the original. Draw some ...

Then the judge writes 12 under edges, and the corners of the cube are highlighted next and 8 recorded under vertices. NARRATOR: Edges - that's twelve. Right, what about corners, or vertices - that ...