Articulation Points - Trace

Trace on input $n=5$, edges $[[0,1],[1,2],[2,0],[1,3],[3,4]]$: DFS from $0$: disc[0]=0. Visit $1$: disc[1]=1. Visit $2$: disc[2]=2. Back edge $2-0$: low[2]=0. Backtrack: low[1]=0. Visit $3$: disc[3]=3.

Visit $4$: disc[4]=4. Backtrack: low[3]=3 >= disc[1]=1, add $1$. Backtrack: low[4]=4 >= disc[3]=3, add $3$. Articulation points: $[1, 3]$. Both vertices satisfy the condition.