25.1.7. Step-by-Step Example of Longest Path Computation

Try these first

1. 1.

   Define a Directed Acyclic Graph (DAG).

   Hint

   Think about the term 'acyclic'.

2. 2.

   What is topological sorting?

   Hint

   Consider the order of tasks with dependencies.

3. 3.

   What defines a Directed Acyclic Graph?

   • It has loops
   • It has directed edges
   • It is undirected

   Hint

   Focus on the structure of the graph.

4. 4.

   True or False: Every DAG can be topologically sorted.

   • True
   • False

   Hint

   Think about dependency structures.

5. 5.

   Consider a project with multiple tasks where some depend on previous completion. Create a DAG of this project and compute the longest path.

   Hint

   Focus on where the longest chains tend to originate.

6. 6.

   If adding a task modifies existing dependencies, recalibrate the longest path. What challenges might this present and how would you address them?

   Hint

   Consider how changes ripple through the project dependencies.