A cut point (also known as an articulation point) is a node in a graph whose removal splits the graph into multiple disconnected parts. In other words, it is the only node through which several subgraphs remain connected.
A bridge is an edge (connection) in a graph whose removal also disconnects the graph, creating isolated components.
In simple terms:
In graph theory, these elements are considered structurally critical because removing them changes the fundamental structure of the graph. Below is a simplified schematic example for conceptual understanding:

Some items are more than just important; they are structurally vital.
In Visual Dependencies terms, a cut point is a work item whose removal would split the dependency graph into disconnected parts. A bridge is a single link that connects otherwise separate areas of work. Together, they represent single points of failure in the delivery structure.
The app helps teams identify these fragile points and ask the right questions:
By addressing cut points and bridges, teams reduce delivery fragility and avoid situations where one delay cascades into widespread disruption.