The most common tasks to be performed with graphs boil down to a handful of things:

Visualization is the task of actually generating a visual representation of an existing graph. Note that this does not necessarily mean the creation of a static picture, but more generally describes forms of representation that could also allow for interaction. The items (manual) creation and editing both mean interacting with a graph, i.e., creating nodes and connecting them with edges. Or adding further elements to an existing graph, or removing elements from an existing graph. Automatic entity arrangement is the creation of high-quality, easy-to-understand drawings of a graph to help in communicating information more quickly. Structural analysis means solving advanced questions that relate to a graph structure, for instance, determining a shortest path between two nodes.

The yFiles graph visualization library supports all the above and has even more to offer. yFiles is something like a Swiss Army knife that: