For example, a puzzle could have nine letters, shapes, or colors instead of numbers. When graph theorists label the vertices, they call it a “coloring.” A sudoku puzzle begins with a partial ...

For example, if a graph consists of only two stars, then one of the stars is guaranteed to contain at least half the vertices of the original graph, and this guarantees an independent set roughly half ...

many paths between two vertices (even in simple graphs). For example, consider graphs like this: I just coded this algorithm out in ruby, what fun that was.... So after you've labeled your nodes ...

“You cannot do odd-odd, and therefore you need to settle for next best thing, which is, let’s do odd with a substantial portion of vertices,” said Krivelevich. To cement the question, consider a ...

Vertices and edges of the same color and shape in a graph are mapped to each other by a symmetry permutation preserving the structure of data. News organizations may use or redistribute this image ...

The mathematical language for talking about connections, which usually depends on networks—vertices (dots ... to model drug interactions, for example, graph theory might show how two drugs ...