in and out lab

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To Do :

For the in-lab part of the lab do as much as you can in class, you must be in class to get checked at the end of class (a couple of students have exceptions, work with your TA).

The first part of the lab we will write methods to do the following tasks:

  1. Read in a graph
    • Your program should read in a text file (use a Scanner) that has a adjacency matrix. Some algorithms will expect a weighted graph, but one will expect a directional graph(1s and 0s). You can assume the matrix will always be symmetrical, the rows and columns represent the nodes so it has to be symmetrical. You will need to read in a weighted graph for some of the weighted graph algorithms in the out-lab, and a (directional) boolean graph for reachability algorithms. Example:
                 01101_x000D_
                 10011_x000D_
                 10001_x000D_
                 01000_x000D_
                 11100_x000D_
      

      That is directional, here is weighted…….

                 0 9 3 0 6_x000D_
                 9 0 0 4 5_x000D_
                 3 0 0 0 8_x000D_
                 0 4 0 0 0_x000D_
                 6 5 8 0 0_x000D_
      

      Weighted graphs are always mirror images because to get from the first node to the second node it is always 9 no matter which way you travel.

  2. Write a method that does breadth-first search (Queue).
  3. Write a method that does depth-first search (recursion ….I said stack in class, and that’s all recursion really is, but it’s easier to use recursion than to implement a stack).

Get done as much of the above as possible and then get checked off by your TA at the end of your lab time. Inlab credit must be done in class.

The rest of the lab I covered Thursday and the last part, MST, will be covered Tuesday in class, here it is:

Continue with your program from above and add the following:

  1. Dijkstra’s Algorithm for a weighted graph
  2. Prim’s Algorithm for a weighted graph
  3. Floyd’s (find all reachable paths with a directed graph start with an adjacency matrix, no weights, just 1’s and 0s) pseudocode for this is linked on Thursday
  4. Floyd and Warsall’s (Find the shortest path of a weighted graph) pseudocode for this is linked on Thursday.

We will go over the Primm algorithm on Tuesday. But feel free to go ahead and do the ones we covered Tuesday an Thursday now, we already covered them. If you didn’t know we covered this stuff you should come to class it makes labs like this a lot easier.

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