In this task you will work with an undirected Graph G = {V, E}, where V = {f,p,s,b,l,j,t,c,d} and E = {(1,2), (1,3), (3,8), (4,8), (8,9), (1,7), (2,6), (2,3), (5,6), (6,7), (7,9), (8,1)}. Assume that the nodes are stored in an indexed linear structure (e.g., an array or a vector) numbered consecutively from 1 (node f) to 9 (node d). 1. Type up a tgf representation of the graph  2. Find a path from node l to node b with length 8, that passes through every vertex of the graph. List the nodes of that path. 3. The graph G contains cycles. What is the smallest number of vertices to remove in order to break all cycles?

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A:

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