Minimum Spanning Trees and Greedy Algorithms (VCE SSCE General Mathematics): Quizzes

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Minimum Spanning Trees and Greedy Algorithms
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Which property is NOT characteristic of a tree?

Contains cycles

If a tree has 1212 vertices, how many edges does it have?

1111

How many edges does a spanning tree need if the graph has 99 vertices?

88

What is a minimum spanning tree?

A spanning tree with smallest total weight

What's the key difference between MST and shortest path problems?

MST connects ALL vertices; path links TWO

In Prim's algorithm, where do you select the next edge from?

Vertices already in the tree

In Kruskal's algorithm, how do you select edges?

Smallest weight anywhere, avoiding cycles

How does Prim's algorithm differ from Kruskal's?

Prim's expands from one vertex outward

What defines a greedy algorithm?

Makes best choice at each step

What does Dijkstra's algorithm find?

Shortest path between two specific vertices

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