Quiz on Warshall’s Algorithm

What is Warshall’s Algorithm used for?

• Finding the shortest path in a graph

• Finding the transitive closure of a graph

• Finding the minimum spanning tree

• Detecting cycles in a graph

Warshall’s Algorithm is based on which programming paradigm?

• Greedy

• Divide and Conquer

• Dynamic Programming

• Backtracking

Warshall’s Algorithm is mainly applied to which type of graph?

• Weighted Graph

• Unweighted Graph

• Directed Graph

• Undirected Graph

What is the time complexity of Warshall’s Algorithm for a graph with n vertices?

• O(n)

• O(n^2)

• O(n^3)

• O(2^n)

What is the primary operation performed in Warshall’s Algorithm?

• Addition

• Multiplication

• Logical OR and AND operations

• Subtraction

Which matrix does Warshall’s Algorithm primarily modify during execution?

• Distance matrix

• Adjacency matrix

• Cost matrix

• Incidence matrix

The result of Warshall’s Algorithm is represented as:

• A spanning tree

• A shortest path matrix

• A transitive closure matrix

• A sorted list of edges

If a directed graph has an edge from node A to B and from B to C, what will Warshall’s Algorithm infer?

• There must be a direct edge from A to C

• There is a path from A to C

• The graph is cyclic

• The graph is disconnected

Warshall’s Algorithm can be used to determine which of the following properties of a graph?

• Whether it contains a cycle

• Whether all nodes are reachable from a given node

• The shortest path between nodes

• The minimum spanning tree

If the adjacency matrix of a graph is given, how does Warshall’s Algorithm update it?

• Adds weights to the existing edges

• Changes the diagonal elements to 1

• Uses a three-level nested loop to check reachability

• Reverses the direction of edges