23.1. Design and Analysis of Algorithms, Chennai Mathematical Institute

Try these first

1. 1.

   What does DAG stand for?

   Hint

   Think about graphs with no cycles and directed paths.

2. 2.

   Define 'vertex' in the context of DAGs.

   Hint

   Consider what elements make up a graph.

3. 3.

   What does DAG stand for?

   • Directed Acyclic Graph
   • Directed All Cyclic Graph
   • Double Acyclic Graph

   Hint

   Remember the relationship between direction and cycles.

4. 4.

   True or False: A DAG can contain cycles.

   • True
   • False

   Hint

   Think about the dependencies and loops.

5. 5.

   Construct a DAG from the following tasks: E - buy ingredients, F - prepare food, G - serve food, where E and F must be done before G. Then provide a topological sort.

   Hint

   Think about dependencies and order in which tasks can be performed.

6. 6.

   Given a project with tasks M, N, O such that M precedes N and O, and O must precede N, depict the DAG and explain your topological order.

   Hint

   Map out the tasks visually to ensure correct dependencies.