📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    In which of the following scenarios would the

    Floyd-Warshall algorithm be most suitable?
    A Finding the shortest path from a single starting point to all other points in a very sparse graph with positive edge weights. Correct Answer Incorrect Answer
    B Finding the Minimum Spanning Tree of a graph. Correct Answer Incorrect Answer
    C Determining the shortest paths between all pairs of nodes in a dense network where negative edge weights might exist (but no negative cycles). Correct Answer Incorrect Answer
    D Searching for a specific element in a sorted array. Correct Answer Incorrect Answer
    E Optimizing a complex scheduling problem with many constraints. Correct Answer Incorrect Answer

    Solution

    The Floyd-Warshall algorithm is ideal for solving the all-pairs shortest path problem. Its O(V^3) time complexity makes it more efficient for dense graphs compared to running single-source algorithms multiple times. Additionally, its ability to handle negative edge weights (as long as there are no negative cycles) makes it versatile for various real-world applications like network routing and urban planning.

    Practice Next
    More IT Operating System Questions
    ask-question