Page 83 - Data Structures Interactive Book
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This program demonstrates Prim’s algorithm using a priority queue. It calculates the
total weight of the MST, ensuring minimal cost connectivity.
8.5.2 Kruskal’s Algorithm
Kruskal’s algorithm builds the MST by sorting all edges in increasing order of weight
and then adding them one by one, provided they do not form a cycle. It uses the Union-Find
(Disjoint Set Union) data structure to efficiently check whether adding an edge would create
a cycle.
Step-by-step process:
1. Sort all edges by weight.
2. Initialize each vertex as its own set.
3. For each edge, check if the vertices belong to different sets. If yes, add the edge to the
MST and merge the sets.
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