Kruskals algorithm
Overarching idea
Build a subgraph by repeatedly choosing the minimum edge which does not form a cycle.
Steps
Choose a vertex as the initial MST subgraph, S.
Choose the minimum edge which connects S to any other vertex in the graph, G. This vertex should not be connected to S.
Repeat step 2.
Runtime
Runtime - O(n^2)
Use min heap to find minimum edge - O(nlogn) (logn to get minimum edge each time, n - 1 times)