Simple disjoint-set based implementation
suggest changeThe above forest methodology is actually a disjoint-set data structure, which involves three main operations:
subalgo makeSet(v: a node): v.parent = v <- make a new tree rooted at v subalgo findSet(v: a node): if v.parent == v: return v return findSet(v.parent) subalgo unionSet(v, u: nodes): vRoot = findSet(v) uRoot = findSet(u) uRoot.parent = vRoot algorithm kruskalMST''(G: a graph): sort G's edges by their value for each node n in G: makeSet(n) for each edge e in G: if findSet(e.first) != findSet(e.second): unionSet(e.first, e.second)
This naive implementation leads to O(n log n)
time for managing the disjoint-set data structure, leading to O(m*n log n)
time for the entire Kruskal’s algorithm.
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