Efficient Maze Generation using Disjoint-Set Data Structure

2025-07-02
Efficient Maze Generation using Disjoint-Set Data Structure

This talk presents an efficient method for generating mazes using the disjoint-set data structure. The speaker first explains the properties of mazes and how to represent them as graphs, then introduces the disjoint-set data structure and its `union` and `find` operations. By repeatedly performing the `union` operation until only one set remains, a maze can be generated. The speaker also discusses optimizations for the `find` operation, including union by rank and path compression, reducing lookup time from O(n) to near constant time. Finally, the speaker demonstrates how to connect multiple mazes to create more complex ones.