In this lab, we will implement an algorithm for topological sorting. When a graph structure (i.e. a set of nodes and edges) is given, your program prints a list of nodes as a result of topological sort. As we have discussed in class, topological sorting needs queue ADT in order to save the nodes that do not have any in-degree during the sorting process.
1. Input and Output
Read a set of vertices in the first line and a set of edges in the second line from the given input file. Each line is described below. You may assume that the node is represented by an integer.
• Vertices are given in the first line. Each vertex is separated by a space.
• Edges are given in the second line. Each edge is represented by a pair of vertices. For example, “1-3” represents an edge from the vertex 1 to 3.
An exemplary input file is given below; the corresponding graph is provided on the right.
Input.txt
1 2 3 4 5 6
1-2 1-4 2-5 2-4- 2-3 3-4 5-3 6-3 6-5
Expected output (should be printed in standard output):
1 6 2 5 3 4
2. Data Structure for Topological Sorting
You can use an adjacency matrix to store your graph information as we have discussed in class. An example is shown below.
3. Program Description
• name : p12.c
• input : an input file name is given as a command line argument. See the example in “1. input”
• output : the corresponding result in the standard output
Submit to the course git your source code. (~2020/6/11 23:59)
