Question 1 (25 pts): Figure 1 Graphs for Question 1. a. In Figure 1(a), determine if the graph is simple. Also determine if there is a cycle in this graph. The graph is a simple graph, and the graph has no cycles. b. In Figure 1(a), determine if the vertices 2 and 9 are connected. If these vertices are connected, find a path from vertex 2 to vertex 9 . c. In Figure 1 (b), determine if the vertices 1 and 10 are connected. If these vertices are connected, find a path from vertex 1 to vertex 10 . d. In Figure 1 (b), find a path, if any, from vertex 1 to vertex 3 that has 4 edges