29.1.3. Question 2

Try these first

1. 1.

   What is an articulation point?

   Hint

   Think about what happens when you remove a vertex.

2. 2.

   Is a graph with no articulation points always connected?

   Hint

   Consider what you learned about graph connectivity.

3. 3.

   What is an articulation point in a graph?

   • A vertex that connects to only one other vertex
   • A vertex that increases components when removed
   • A vertex with the highest degree

   Hint

   Consider the role of vertices in maintaining paths.

4. 4.

   True or False: A graph can be connected and still have vertices that are all articulation points.

   • True
   • False

   Hint

   Think about the effects of removing a critical vertex from the graph.

5. 5.

   Given a graph with edges indicating connections, identify all articulation points and verify if their removal leads to disconnection.

   Hint

   Focus on connectivity while traversing the graph.

6. 6.

   Construct a connected graph with exactly two articulation points, then demonstrate its disconnection upon removing either point.

   Hint

   Draw the graph before and after removing points to visualize changes.