Gilbert’s Theorem

Gilbert's Theorem states that in any finite set of points, known as a point cloud, you can always find a smaller subset of points, called a minimal dominating set, that can "cover" or "dominate" the entire set. This means that each point in the original set is either in the minimal set or is close enough to be influenced by one of the points in it. This concept is useful in fields like network design, optimization, and even resource allocation, as it allows for efficient management and coverage of complex systems with fewer resources.