Use the following graph for this problem. Where needed and not determined by the d) algorithm, assume that any algorithm begins at node A. 10 E 5 4 1 3 8. 1 6. F 5 Step through Dijkstra's Algorithm to calculate the single source shortest path from A to every other vertex. You only need to show your final table, but you should show your steps in the table below for partial credit. Show your steps by crossing through values that are replaced by a new value. [Ref. Graph in figure] Vertex Known Distance Path B D E G i) In what order would Dijkstra's algorithm mark each node as known? ii) iii) What is the shortest (weighted) path from A to G? What is the length (weighted cost) of the all shortest path

Please provide all the spanning trees possible from the graph below:

I need to use Dijkstra’s algorithm to find the shortest path from a to z for the graph. Please help

There are many applications of Shortest Path Algorithm. Consider the problem of solving a jumbled Rubik's Cube in the fewest number of moves. I claim that this problem can be solved using a Shortest Path Algorithm. Determine whether this statement is TRUE or FALSE. NOTE: if you want to check if this statement is TRUE, think about how the Rubik's Cube Problem can be represented as a graph. What are the vertices? Which pairs of vertices are connected with edges? What is your source vertex and what is your destination vertex? How would Dijkstra's Algorithm enable you to find the optimal sequence of moves to solve a jumbled cube in the fewest number of moves?