| Undirected (symmetric) | Directed/digraph (asymmetric) | Mixed |
|---|---|---|
![]() | ![]() | ![]() |


| Simple | Multigraph |
|---|---|
Undirected, unweighted graph that has no loops and no more than one edge between any two different vertices![]() | Multiple edges connecting the same two vertices within a simple graph![]() |
A graph may also have a connected component
| Connected | Disconnected |
|---|---|
If there is for any two given vertices a path between them![]() | If not all pairs of vertices have a path between them![]() |