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Summary of 1 pages for the course Dsa at Dsa (Dsa notes)

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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 'll 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 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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