From 0 to 1 Data Structures & Algorithms in Java - Implementation Of Kruskal's Algorithm

The video tutorial explains Kruskal's algorithm for finding a minimal spanning tree in an undirected graph. It covers the necessary data structures like Edge Info and Vertex Info, and details the setup process involving a priority queue and edge map. The tutorial then describes the algorithm's logic, focusing on edge selection and cycle detection using the hash cycle method. The goal is to ensure the spanning tree is minimal and connected without forming cycles.

What does the Edge Info data structure represent in Kruskal's algorithm?

• A single vertex and its properties

• The entire graph structure

• An edge using two vertices and an edge weight

• A list of all vertices in the graph

What is the purpose of the priority queue in the setup phase of Kruskal's algorithm?

• To keep track of visited vertices

• To return edges with the smallest weight

• To return edges with the largest weight

• To store all vertices in the graph

How are vertices tracked to ensure a minimal spanning tree is formed?

• Using a list of all edges

• Using a set of visited vertices

• Using a queue of unvisited vertices

• Using a map of edge weights

How does Kruskal's algorithm ensure that no cycles are formed when building the spanning tree?

• By adding all edges regardless of weight

• By using a priority queue to select edges

• By checking each edge against the edge map for cycles

• By only adding edges that connect to unvisited vertices

In Kruskal's algorithm, what condition must be met for the spanning tree to be considered complete?

• The priority queue must be empty

• All edges must be added

• All vertices must be visited

• The total weight must be minimized

What is the role of the hash cycle method in Kruskal's algorithm?

• To calculate the total weight of the spanning tree

• To initialize the priority queue

• To add new edges to the spanning tree

• To detect cycles in the spanning tree

What happens if a newly added edge causes a cycle in the spanning tree?

• The spanning tree is considered complete

• The cycle is ignored and the edge is kept

• The edge is removed from the spanning tree

• The algorithm restarts from the beginning