Kruskal's Algorithm

Kruskal's Algorithm
Runtime	Sort + E cycle? + (V - 1) adding-edge
Class	Minimum Spanning Tree, Greedy Algorithm

Approach

Select edges in order of smallest to largest, using disjoint-sets to prevent cycles.

Analysis

Sort edges + E (cycle?) + (V - 1) adding edge

Sorting takes E log E

For weighted disjoint set, checking cycle takes log V, and adding edge takes log V

For fast-find, where all members have the same ID, fast-set-id needs O(1) and union needs O(n)