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This video tutorial explains the concept of articulation points in a graph, which are nodes that, when removed, split the graph into two or more components. The tutorial discusses how to identify articulation points using the same concept of time in and low time used to find bridges in a graph. In the example given, removing certain nodes like 4 or 8 results in the graph breaking into multiple components, indicating that they are articulation points. However, removing other nodes like 1 or 6 does not break the graph into multiple components, so they are not considered articulation points.