Set Cover
The Set Cover problem is a classic optimization challenge in computer science and mathematics. It involves a collection of sets and a universal set of elements. The goal is to select the smallest number of these sets such that their union covers all elements in the universal set.
This problem is often encountered in various fields, including network design, resource allocation, and data mining. Due to its NP-hard nature, finding an exact solution can be computationally expensive, leading to the development of approximation algorithms that provide near-optimal solutions efficiently.