Prim’s Algorithm for finding the Minimum Spanning Tree of a graph is a kind of a _
Question
Prim’s Algorithm for finding the Minimum Spanning Tree of a graph is a kind of a _
Solution
Prim’s Algorithm for finding the Minimum Spanning Tree of a graph is a kind of a Greedy Algorithm.
Here are the steps for Prim’s Algorithm:
- Initialize a tree with a single vertex, chosen arbitrarily from the graph.
- Grow the tree by one edge: of the edges that connect the tree to vertices not yet in the tree, find the minimum-weight edge, and transfer it to the tree.
- Repeat step 2 (until all vertices are in the tree).
In every step, it makes the most cost-effective choice. It doesn't consider the future consequences of its current choice, hence it is a kind of a Greedy Algorithm.
Similar Questions
Which algorithm is used to find the minimum spanning tree in a graph?A) Bellman-FordB) Kruskal'sC) Prim'sD) Dijkstra's
Prim’s algorithm can be efficiently implemented using _____ for graphs with greater density.a.linear searchb.d-ary heapc.Fibonacci heapd.binary search
Every graph has only one minimum spanning tree. State true or false.a)Falseb)True
The runtime complexity of Kruskal's algorithm for finding the Minimum Spanning Tree is:OptionsO(V log V)O(V^2) O(E^2)O(E log E)
Changing the order in which the vertices are processed can change the spanning tree created when running Depth-First Search Algorithm
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