Robertson-Seymour Theorem

The Robertson-Seymour Theorem states that in the study of graphs (networks of points and connections), there is a fundamental way to compare them based on a concept called minor inclusion. It asserts that among all graphs, there are no infinite sequences of graphs where each one is a "minor" (a simplified version obtained by deleting or contracting edges) of the next. This means that within any collection of graphs, there are some that serve as "building blocks" or minimal examples, allowing mathematicians to classify and understand complex networks systematically. The theorem is a cornerstone in graph theory and algorithms related to graph structure.