Prim’s algorithm using greedy technique.

 

Algorithm:

Algorithm prim(E,cost,n,t){

Let (k,l) be an edge of minimum cost in E; mincost :=cost[k,l];

t[l,l]:=k;t[1,2]:=t;

for i:=1 to n do // lnitialize near.

if (cost[i,l] < cost[i,k]) then near[i]:=l; else near[l]:=k;

near[k]:=near[l]:=0; for i:=2 to n-1 do{

Let j be an index such that near[j]!=o and cost[j,near[j]] is minimum; t[i,l]:=j;t[i,2]:=near[j]; mincost:=mincost+cost[j,near[j]]; near[j]:=0;

for k:=1 to n do // Update near[].

if (near[k]!=0) and (cost[k,near[k]]>cost[k,j])) then nwar[k] :=j;         }

return mincost;}

Source Code:

def prim(E, cost, n, t): S = [t]

T = []

while len(S) < n:

min_cost = float('inf') for i in S:

for j in range(n):

if j not in S and cost[i][j] < min_cost: min_cost = cost[i][j]

min_edge = (i, j) S.append(min_edge[1]) T.append(min_edge)

return T

E = [(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3)]

cost = [[0,

1,

3,

100],

[1,

0,

3,

6],

[3,

3,

0,

4],

[100, 6, 4, 0]]

n = 4

t = 0

print(prim(E, cost, n, t))

 

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