Kuo's theorem

Kuo's theorem is a concept from graph theory, which deals with the properties of graphs—collections of points (vertices) connected by lines (edges). Specifically, it helps in understanding how certain graph structures can be manipulated while preserving their connectivity features. Essentially, Kuo's theorem provides a way to calculate the number of ways to reach certain states in a graph by relating subgraphs of different sizes. This theorem is useful in various fields such as network design, reliability analysis, and biological modeling, as it helps to analyze and optimize complex systems described by graphs.