The study of such graphs is called graph theory. Engineers need to find planarity ... Put another way, good embeddings are easier to add new edges to without violating planarity.

The picture above shows our game represented as a graph — a collection of points (called vertices) and segments between them (called edges). The dilemma you face exemplifies a simple but profound idea ...

That's how one can safely describe this mathematical problem in the discipline of graph theory. Two mathematicians ... are two kinds of updates in dynamic graphs: One can delete an edge and ...

Something doesn't quite add up, and I find it is easy to ... easily create animated node and edge graphs from mathematical graph theory. Conceptually, Alexander's resolutions of form and context ...

But in the world of graph theory, the conjecture predicts that the tiling always works. With the kitchen floor, as with graphs, where you place the first ... other edges branching off of it. You could ...

It’s often assumed that Dijkstra’s algorithm, or the A* graph traversal algorithm is used, but the reality is that although these pure graph theory algorithms are decidedly influential ...

However, generalizing from graphs to hypergraphs quickly gets complicated. One way to illustrate this is to consider the canonical cut problem from graph theory, which asks: Given two distinct nod ...

Chayes and Borgs's prior university labors on graph theory and phase transitions have been of some use to the enterprise. Since they joined Microsoft, the World Wide Web has come into its own.

This may come as a shock if you've first encountered knowledge graphs in ... More graph databases support SQL, and there is an ongoing standardization effort to add graph extensions to SQL itself.