Which data structure can be efficiently implemented using Disjoint Set Union?
Practice Questions
Q1
Which data structure can be efficiently implemented using Disjoint Set Union?
Binary tree
Graph
Priority queue
Sparse matrix
Questions & Step-by-Step Solutions
Which data structure can be efficiently implemented using Disjoint Set Union?
Step 1: Understand what Disjoint Set Union (DSU) is. It is a data structure that keeps track of a partition of a set into disjoint (non-overlapping) subsets.
Step 2: Learn that DSU is used to manage connected components in a graph. A connected component is a subset of a graph where any two vertices are connected to each other by paths.
Step 3: Realize that when you want to find out if two nodes in a graph are in the same connected component, DSU can help efficiently check and unite these components.
Step 4: Recognize that DSU supports two main operations: 'find' (to determine which component a particular element is in) and 'union' (to merge two components).
Step 5: Conclude that DSU is particularly useful in algorithms that deal with connectivity, such as Kruskal's algorithm for finding the minimum spanning tree.
