Trees and Minimum Connector Problems (VCE SSCE General Mathematics): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What is a tree in graph theory?
What is a tree in graph theory?
A graph with no loops, multiple edges, or cycles
If a tree has vertices, how many edges does it have?
If a tree has vertices, how many edges does it have?
edges
What is a spanning tree?
What is a spanning tree?
A tree that connects all vertices of a graph
A graph has vertices and edges. How many edges must be removed for a spanning tree?
A graph has vertices and edges. How many edges must be removed for a spanning tree?
edges
What is the minimum spanning tree?
What is the minimum spanning tree?
The spanning tree with smallest total weight
What is the first step in Prim's algorithm?
What is the first step in Prim's algorithm?
Choose any vertex as starting point
In Prim's algorithm, what must you avoid when selecting edges?
In Prim's algorithm, what must you avoid when selecting edges?
Edges that create a cycle
How do connector problems differ from shortest path problems?
How do connector problems differ from shortest path problems?
They find min total to connect all points
A spanning tree has edges with weights . What is the total weight?
A spanning tree has edges with weights . What is the total weight?
What is a common application of minimum spanning trees?
What is a common application of minimum spanning trees?
Connecting towns to utilities efficiently
