c) Given the following Graph and after applying Dijkstra algorithm, the final table looks as given below. 1 3 DE 5 Vertex known A T B T с T T T I J K F T G T H T T T H 4 18 T L T M T 10 20 d. 7 G 0 15 19 41 P H с M J 6 2 B 10 K 30 D 5 G 7 J 12 14 K 31 I 10 568 From this information, find out the shortest path from the source vertex B to vertex I, trace the path and also find out the shortest distance.

Using Dijkstra algorithm, visualize the steps to get shortest path from node A to all other nodes.

9:17 Today Edit 9:17 AM Given a directed graph G=(V, E), design an algorithm to find out whether there is a route between two nodes, say, u and v. Your design should be based on depth first search and should be given in pseudo code.

max edge distance Simplification key Figure 4-1: A sample process for the Douglas-Peucker algorithm The Douglas-Peucker algorithm is for the selection of representative points to simplify a curve composed of line segments. It uses a point-to-edge distance tolerance. The algorithm starts with a crude simplification that is the single edge joining the first and last vertices of the original polyline. It then computes the perpendicular distance of all intermediate vertices to that edge. The vertex that is furthest away from that edge, and that has a computed distance that is larger than a specified tolerance, will be marked as a key and added to the simplification. This process will recurse for each edge in the current simplification until all vertices of the original polyline are within tolerance of the simplification results. This process is illustrated in Figure 4-1. (1) Given three points (xp, Yp), (Xa, Ya), (Xp,Yb), show a detailed process to compute the perpendicular distance from p…