Question

Suppose a university offers a diverse set of courses, and each course can have multiple prerequisites. The prerequisites can form complex dependencies among courses. Use a directed graph to model the course prerequisites, and answer the following questions: Explain how you would construct a directed graph to represent the courses and their prerequisites

Answer 1

To represent courses and their prerequisites using a directed graph:

• Nodes: Each course is a node in the graph.
• Edges: Directed edges from prerequisite courses to the courses they are required for.

How to do this

For instance, if Course A requires Course B and Course C as prerequisites:

Node A represents Course A.

Node B represents Course B.

Node C represents Course C.

There are directed edges from B to A and from C to A.

This process continues for all courses and their respective prerequisites, forming a network where nodes are courses and edges depict the prerequisite relationships.

To build this graph:

• Identify all courses.
• Establish directed edges from each prerequisite course to the course(s) that require it.
• Formulate the graph with nodes representing courses and directed edges symbolizing prerequisite relationships.