Table of contents12.1 Well-Quasi-Ordering12.2 The Graph Minor Theorem for Trees12.3 Tree-Decompositions12.4 Tree-Width and Forbidden Minors12.5 The Graph Minor Theorem12.1 Well-Quasi-Ordering 12.2 The Graph Minor Theorem for Trees 12.3 Tree-Decompositions 12.4 Tree-Width and Forbidden Minors 12.5 The Graph Minor Theorem