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Summary Algorithms Unlocked, ISBN: 9780262518802 Computer science (DSA)
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Describe Prims Minimum Spanning Tree Algorithm
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Summary Foundations of Computing (JBI020) 2020/2021
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Prims Minimum Spanning Tree Algorithm (Step by Step withexamples)
Prims Algorithm is an algorithm to find minimum spanning tree. It is a greedy apporach which
means you are greedy for something good for a short term This approach is known as Greedy
Approach. The cost of the spanning tree is a sum of the weights of all the edges in the tree.
Minimum spanning tree that where minimum cost is involved is a tree with minimum cost
involved Now we have a spanning tree which spans every node. The Cost of MST = 1+2+3 = 6 6
would be the cost minimum spanning tree here So this I got this Minimum Spanning Tree with
the help of Prims. can do everything..
So here we grow spanning tree from the starting position in Prims Algorithm. Prims Algorithm
helps us to get this type MST. The Prims algorithm is used to calculate the type of MST using the
Prims Algorithm. We 'll see an important example here and give an idea of how you can apply
Prims. Algorithm.
I have an option of 1-2 whose cost was 20 already Can I connect 1 to any node? No Can i connect
6 to any nodes? Yes i can conncet 6 to 5 The cost would be 18 I ca n't see any other option
Neither could I connect any nodes form A to that of V nor 6 in V Now i could see only 2 options
One is 1-1 and the other is 6-5 since the cost is less. So 5 would be removed from V and the rest
would be the same And
A would be 1,5 and 6. V only has 0 And A has 1,2,3,4,5 and 6 These are my elements of A Now if I
talk about options here What options do I have now? Can I connect 1 with any other node ? Let
us start from 0 and see it from V I have to connect a node from A to V Or from V to A Or from
either of the sides Since V has lesser node I 'Il start from here which node can be connected 1
with ? Can 1 be connected to either 0 or 2? No we ca n't connect any node with 6 Minimum cost
is 4-3 and We'll reject this and choose 4 -3 since it 's cost Answer in the comments the cost of the
MST of graph G in the comment section. I hope you understood the Prims Algorithm Maintain V
and A. If you do it by yourself then it would be difficult for the others to understand your
stens How we got this MST 2 If of graph G in the comment section. I hope you understood the
Prims Algorithm Maintain V and A. If you do it by yourself then it would be difficult for the others
to understand your steps How we got this MST? If you show all the subsequent values of A and V.
So you'll clearly know how you got this I hope everybody understood Prims...
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