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Write Prim's Algorithm.
Ans: Prim's algorithm to find out a minimum spanning tree from a weighted graph in step by step form is given below.
Let G = (V, E) be graph and S = (VS, ES) be the spanning tree to be found from G.
Step 1: Choose a vertex v1 of V and initialize
VS = {v1} and
ES
= {}
Step 2: Choose a nearest neighbor of vi from V that is adjacent to some vj∈VS and that edge (vi, vj) does not form a cycle with members edge of ES. Set
VS = VS ∪{vi} and
ES = ES ∪{(vi, vj)}
Step 3: Again Repeat step2 until |Es| = |V| - 1.
1+1=?
In a right triangle ABC, right angled at C, P and Q are points of the sides CA and CB respectively, which divide these sides in the ratio 2: 1. Prove that 9AQ 2 = 9AC 2 +4BC 2
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