Mode
Move Vertex

Instructions:

VEnter/exit "Add Vertex" mode. Click to create a vertex.
EEnter/exit "Add Edge" mode. Click 2 vertices to add an edge between them. Multiple edges between vertices is supported. Loops can be created by clicking a vertex twice.
DEnter/exit "Delete" mode. Click vertices or edges to delete them.
MShow/hide the adjacency matrix of the graph.
Shift+LToggle labels on/off.
LEnter/exit "Change Label" mode. Change the text of a label by clicking on it. The default label value is the index of the vertex in the adjacency matrix.
Any Other KeyEnter "Move Vertex" mode (default). Vertices can be moved by dragging and dropping.