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3 cards from this section. Quick, good the night before a test.
What is a spanning tree in the context of a graph?
Think about the properties of trees.
What is a greedy algorithm?
Consider how you would make decisions based on current options.
What is the main goal of Prim's algorithm?
Consider the definition of a spanning tree.
True or False: Prim's algorithm can work with disconnected graphs.
Think about the requirements for forming a spanning tree.
Given a graph with vertices A, B, C, D, and edges AB=1, AC=2, AD=3, BC=3, BD=2, CD=1, apply Prim's algorithm to find the minimum spanning tree.
List your edges by weight and think about how to connect new vertices at each step.
Consider a scenario where a graph has multiple edges between vertices with the same minimum weight. Discuss how Prim's algorithm handles this situation.
Think about how the algorithm can choose edges that share the same weight.
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