Disjoint Set
A Disjoint Set, also known as a Union-Find data structure, is a collection of non-overlapping sets. It efficiently supports two primary operations: Union, which merges two sets, and Find, which identifies the set containing a particular element. This structure is useful in various applications, such as network connectivity and clustering.
Disjoint Sets are often implemented with techniques like path compression and union by rank to optimize performance. These optimizations ensure that both operations can be performed in nearly constant time, making Disjoint Sets highly efficient for managing dynamic connectivity among elements in a set.