Question

Which of the following algorithms has the best time complexity?
Hamiltonian Path problem
Travelling Salesman problem
Set cover
Radix sort
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Answer 1

Answer:

Set cover

Explanation:

Answer 2

Answer:

In Data structures, SET COVERS algorithms provides an optimal time solvable solution.

Explanation:

Step 1:Set covers the algorithm that offers a solvable answer in the shortest amount of time.

The set covering issue seeks to determine the smallest number of sets that include (cover) all of the items given a set of elements.

The aim is to discover a set covering that employs the fewest sets. It is a problem "whose research has led to the creation of essential approaches for the whole area" of approximation algorithms. Set covering is NP-complete in the decision version and NP-hard in the optimization/search version.

Step 2:Long-standing and well-known NP-hard problems include the Hamiltonian Cycle Problem (HCP) and the Traveling Salesman Problem (TSP). Finding pathways through a given graph that visit each node precisely once after the start and terminate where they started is the goal of the HCP (i.e., Hamiltonian cycles).

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