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What is the runtime complexity of Kruskal's algorithm for finding the minimum spanning tree of a graph?
The runtime complexity of Kruskal's algorithm is O(E log V), where E is the number of edges and V is the number of vertices in the graph.
What is the runtime complexity of the Prim's algorithm for finding the minimum spanning tree of a graph?
The runtime complexity of Prim's algorithm is O(V2) or O(E log V), where V is the number of vertices and E is the number of edges in the graph.
What is the pseudocode for the selection sort algorithm and how does it work?
The pseudocode for the selection sort algorithm is as follows: Start with the first element as the minimum. Compare the minimum with the next element in the list. If the next element is smaller, update the minimum. Continue this process until the end of the list is reached. Swap the minimum element with the first element. Repeat the process for the remaining elements in the list. Selection sort works by repeatedly finding the minimum element from the unsorted part of the list and swapping it with the first unsorted element. This process continues until the entire list is sorted.
Can you provide the pseudocode for Kruskal's algorithm?
Here is the pseudocode for Kruskal's algorithm: Sort all the edges in non-decreasing order of their weights. Initialize an empty minimum spanning tree. Iterate through all the edges in sorted order: a. If adding the current edge does not create a cycle in the minimum spanning tree, add it to the tree. Repeat step 3 until all vertices are included in the minimum spanning tree. This algorithm helps find the minimum spanning tree of a connected, undirected graph.
What is the pseudocode for implementing the Kruskal algorithm to find the minimum spanning tree of a graph?
The pseudocode for implementing the Kruskal algorithm to find the minimum spanning tree of a graph involves sorting the edges by weight, then iterating through the sorted edges and adding them to the tree if they do not create a cycle. This process continues until all vertices are connected.
