 Cut point

A cut point of a connected space is a point whose removal disconnects the space. Every interior point of a closed interval is a cut point, whereas a two-dimensional closed disc has no cut point.

The term "cut point" can refer to different concepts depending on the context, such as mathematics, statistics, and various fields of science and engineering. Here are a few interpretations: 1. **Mathematics/Graph Theory**: In graph theory, a cut point (or articulation point) is a vertex in a graph that, when removed along with its incident edges, increases the number of connected components of the graph.