6. Let G = {V, E} be the graph given below: (i) Draw the subgraph H1 or explain why no such subgraph exists. Subgraph H1 = {{v1,v2 ,v4},{e3,e5,e6}}.  (ii) Starting at v1, write down any circuit of graph G. (iii) Is graph G an Eulerian graph? Explain.  (iv) Does an Eulerian path exist in G? Explain. (v) Find the adjacency Matrix of the graph 27.Use the following tree to answer questions below  a. Find the main Root of the Tree b. Find all the in_vertex c. Find the all the subtrees d. Find the siblings e. Find the level and the height of the tree  f. Traverse the following tree in any one of the traverasal method