Definition:Bridge (Graph Theory)

Definition
Let $$G = \left({V, E}\right)$$ be a connected graph.

Let $$e \in E$$ be an edge of $$G$$ such that $$G - e$$ is disconnected.

Then $$v$$ is known as a bridge of $$G$$.

In this context, $$G - e$$ signifies the graph $$G$$ with the edge $$e$$ removed.

Example
In the graph below, $$CD$$ is a bridge.


 * Bridge.png

The graph would be separated into the two components $$ABC$$ and $$DEF$$.