Topological Sort Quiz

What is the definition of Topological Sort?

• A random ordering of vertices in a directed graph

• A way to arrange vertices in a cyclic graph

• A linear ordering of vertices in a directed acyclic graph where each vertex comes before all vertices it points to.

• A sorting algorithm based on quicksort

Explain one real-world application of Topological Sort.

• Sorting grocery list items

• Arranging books on a shelf

• Organizing files in a computer

• Task scheduling in project management software

What is Kahn's Algorithm used for in the context of Topological Sort?

• Kahn's Algorithm is used to find the topological ordering of a directed graph.

• Kahn's Algorithm is used to find the shortest path in a graph.

• Kahn's Algorithm is used to detect cycles in a directed graph.

• Kahn's Algorithm is used to perform depth-first search on a graph.

How does Topological Sort differ from other sorting algorithms?

• Topological Sort is only applicable to arrays

• Topological Sort has a time complexity of O(n log n)

• Topological Sort focuses on the dependencies between elements rather than their values, making it suitable for DAGs.

• Topological Sort sorts elements based on their values

Why is Topological Sort commonly used in scheduling problems?

• Topological Sort is used for encrypting data.

• Tasks can be ordered based on dependencies to ensure correct execution order.

• Topological Sort is used for generating random schedules.

• Topological Sort is used for sorting numbers in ascending order.

Describe the steps involved in performing a Topological Sort.

• Select the vertex with the highest in-degree first

• Remove vertices randomly until all are visited

• Always choose the vertex with the lowest out-degree

• Choose vertex with in-degree 0, remove it and its outgoing edges, repeat until all vertices are visited.

Can Topological Sort be applied to a graph with cycles? Why or why not?

• Topological Sort can be applied to a graph with cycles but with modifications.

• Yes, Topological Sort can be applied to a graph with cycles.

• No, Topological Sort cannot be applied to a graph with cycles.

• Topological Sort is specifically designed to handle graphs with cycles.

Discuss the time complexity of Kahn's Algorithm for Topological Sort.

• O(log(V))

• O(V + E)

• O(V * E)

• O(2^V)

What data structure is typically used in implementing Topological Sort?

• Binary Tree

• Directed Acyclic Graph (DAG)

• Queue

• Stack

How can Topological Sort be used in determining the order of tasks in a project?

• By sorting tasks alphabetically

• By randomly assigning tasks without considering dependencies

• By assigning tasks based on the length of task names

• By representing tasks as vertices and dependencies as edges in a directed acyclic graph (DAG) and performing a topological sort on this graph.