Guarding Problem

The Guarding Problem involves determining the best way for guards to watch a certain area, such as a polygon-shaped region, so that every part of the area is under surveillance. The goal is to minimize the number of guards needed while ensuring all points are visible to at least one guard. This problem appears in fields like security planning and computational geometry. It challenges us to find efficient placements so that no part of the space remains unmonitored, balancing security coverage with resource allocation.