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2 cards from this section. Quick, good the night before a test.
What does a minimum spanning tree do?
Think about the purpose of connecting nodes efficiently.
Define edge weight in the context of graphs.
What quantity is associated with each edge?
What is Prim's algorithm used for?
Think about tree structures in graphs.
True or False: Prim's algorithm can be executed starting from any vertex in the graph.
Consider starting points in a graph.
Given a graph with vertices and weighted edges, execute Prim's algorithm starting from vertex A and illustrate the tree formed step-by-step.
Keep track of the distances for each vertex through the process.
Analyze a scenario where edge weights are not unique. Discuss how Prim's would select edges differently if multiple edges had the same weight.
Consider how selections could produce various trees.
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