Zusammenfassung der Ressource
Frage 1
Frage
What is the primary purpose of Prim's algorithm?
Antworten
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To identify the most efficient way to connect a set of points with minimal cost.
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To find the largest possible spanning tree within a graph.
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To determine the shortest path between two points in a graph.
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To analyze the complexity of a network by calculating its total weight.
Frage 2
Frage
Which data structures can be used to implement Prim's algorithm?
Frage 3
Frage
What is the primary advantage of using Prim's algorithm for network design?
Antworten
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It guarantees the fastest possible connection between any two points in the network.
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It allows for easy expansion and modification of the network without affecting its efficiency.
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It ensures that the network is highly secure and resistant to disruptions.
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It minimizes the total cost of connecting all points in the network.
Frage 4
Frage
What is the time complexity of Prim's algorithm?
Antworten
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O(V^2)
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O(E^2)
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O(V log E)
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O(E log V)
Frage 5
Frage
How does Prim's algorithm ensure that there are no unnecessary loops in the connections?
Antworten
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It starts with a single vertex and gradually adds edges, ensuring that each new edge connects a vertex already in the tree to a vertex not yet in the tree.
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It uses a greedy approach, always selecting the edge with the minimum weight, which automatically avoids creating loops.
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It calculates the total weight of all possible paths and selects the one with the minimum weight, eliminating any loops.
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It uses a data structure called an adjacency list, which prevents the formation of cycles.