Kruskal's algorithm: minimum spanning tree via sorted edges and union-find.

Kruskal builds a minimum spanning tree by sorting edges and adding the cheapest that does not form a cycle, using union-find for the cycle check. The signal is the greedy cut property and why disjoint-set is the right tool. Here is the answer.

Updated Aug 2026 · Grounded in real Applied AI Engineer interview loops and written to a senior-engineer editorial bar.