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2 cards from this section. Quick, good the night before a test.
What is a spanning tree?
Think about the definition of a tree in general.
What does Prim's algorithm aim to achieve?
Consider the words 'minimum cost' and 'spanning tree'.
What is Prim's algorithm primarily used for?
Think about what it means to connect every vertex at the lowest cost.
True or False: In Prim's algorithm, you can revisit edges once they have been added to the spanning tree.
Consider the definition of a tree.
Given a weighted graph with eight vertices and various edge weights, describe how Prim's algorithm progresses step-by-step starting at any chosen vertex.
Keep track of the edges and their cumulative total weight.
How would the minimum spanning tree change if some of the edges had the same weight? Discuss the implications on Prim's algorithm.
Reflect on what it means for edges to have equal weights.
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