Graph Minors Theorem

The Graph Minors Theorem, developed by Neil Robertson and Paul D. Seymour, states that in any infinite collection of graphs, at least one graph can be found that can be transformed into another by a series of specific operations, like removing edges or vertices. This means that complex graphs can be simplified into "smaller" graphs (called minors) through these operations. The theorem also provides a way to classify graphs and understand their structure, revealing that many properties of graphs can be analyzed via their minors, contributing significantly to graph theory in mathematics and computer science.