The dilemma you face exemplifies a simple but profound idea in graph theory, a field of ... which in a graph is known as the “degree” of the vertex: It’s the number of edges that are connected to that ...

Ringel’s question was about the relationship between complete graphs and trees. He said: First imagine a complete graph containing 2n + 1 vertices (that is, an odd number). Then think about every ...

“Putting it very bluntly, we formally quantified why something is a terrible drawing ... The study of such graphs is called graph theory. Engineers need to find planarity in a graph when ...