CHALLENGE: Find Cut Vertex Of Graph!!

Question

Though this isn't technically a hard challenge just wanted to see how we can get that

Create a piece of code that outputs cut vertex and component made by it
and find the articulation point
http://www.geeksforgeeks.org/wp-content/uploads/ArticulationPoints21.png
in the most extensive way i dont know its a good challenge or not

All languages welcome.

Answer 1

Pretty straightforward. Will work for any non-directional graph.
I know there are more optimal ways.
https://code.sololearn.com/c2D29ZhZt7E0/#py

Aren`t cut-vertex and articulation point a synonyms?