Tree Decomposition

Tree Decomposition is a technique in graph theory and computer science used to represent a graph as a tree structure, where each node of the tree represents a set of vertices from the original graph. The method aims to partition complex graphs into smaller, more manageable parts and express the relationships between these parts through a tree structure, thereby optimizing the solution process for graph problems and improving algorithm efficiency. It has significant application value in large-scale graph data processing and combinatorial optimization, among other fields.