M.RAMYA DEVI HICET STAFF CSE
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Prim's algorithm, also known as Jarník's algorithm, is a greedy algorithm used to find the minimum spanning tree (MST) of a weighted, undirected graph. A minimum spanning tree is a subset of the edges in a graph that connects all the vertices together with the minimum total weight of the edges, without forming a cycle. In simpler terms, it's like finding the cheapest way to connect all the cities in a network, with the condition that there are no unnecessary loops in the connections.

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M.RAMYA DEVI HICET STAFF CSE
Erstellt von M.RAMYA DEVI HICET STAFF CSE vor etwa 2 Monate
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Prims algorithm

Frage 1 von 5

1

What is the primary purpose of Prim's algorithm?

Wähle eine der folgenden:

  • To identify the most efficient way to connect a set of points with minimal cost.

  • To find the largest possible spanning tree within a graph.

  • To determine the shortest path between two points in a graph.

  • To analyze the complexity of a network by calculating its total weight.

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Frage 2 von 5

1

Which data structures can be used to implement Prim's algorithm?

Wähle eine der folgenden:

  • Hash tables and binary trees.

  • Adjacency lists and adjacency matrices.

  • Linked lists and arrays.

  • Stacks and queues.

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Frage 3 von 5

1

What is the primary advantage of using Prim's algorithm for network design?

Wähle eine der folgenden:

  • It guarantees the fastest possible connection between any two points in the network.

  • It allows for easy expansion and modification of the network without affecting its efficiency.

  • It ensures that the network is highly secure and resistant to disruptions.

  • It minimizes the total cost of connecting all points in the network.

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Frage 4 von 5

1

What is the time complexity of Prim's algorithm?

Wähle eine der folgenden:

  • O(V^2)

  • O(E^2)

  • O(V log E)

  • O(E log V)

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Frage 5 von 5

1

How does Prim's algorithm ensure that there are no unnecessary loops in the connections?

Wähle eine der folgenden:

  • 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.

  • It uses a greedy approach, always selecting the edge with the minimum weight, which automatically avoids creating loops.

  • It calculates the total weight of all possible paths and selects the one with the minimum weight, eliminating any loops.

  • It uses a data structure called an adjacency list, which prevents the formation of cycles.

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