Ejemplo 1: Python del algoritmo de prim
def empty_graph(n):
res =[]for i in range(n):
res.append([0]*n)return res
def convert(graph):
matrix =[]for i in range(len(graph)):
matrix.append([0]*len(graph))for j in graph[i]:
matrix[i][j]=1return matrix
def prims_algo(graph):
graph1 =convert(graph)
n =len(graph1)
tree =empty_graph(n)
con =[0]whilelen(con)< n :
found = False
for i in con:for j in range(n):if j not in con and graph1[i][j]==1:
tree[i][j]=1
tree[j][i]=1
con +=[j]
found = True
breakif found :breakreturn tree
matrix =[[0,1,1,1,0,1,1,0,0],[1,0,0,1,0,0,1,1,0],[1,0,0,1,0,0,0,0,0],[1,1,1,0,1,0,0,0,0],[0,0,0,1,0,1,0,0,1],[1,0,0,0,1,0,0,0,1],[1,1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,1,1,0,0,0]]
lst =[[1,2,3,5,6],[0,3,6,7],[0,3],[0,1,2,4],[3,5,8],[0,4,8],[0,1],[1],[4,5]]print("From graph to spanning tree:n")print(prims_algo(lst))
Ejemplo 2: prims c ++
#include #include #include #include #include usingnamespace std;constint MAX =1e4+5;typedef pair<longlong,int> PII;bool marked[MAX];
vector <PII> adj[MAX];longlongprim(int x)
priority_queue<PII, vector<PII>, greater<PII>> Q;int y;longlong minimumCost =0;
PII p;
Q.push(make_pair(0, x));while(!Q.empty())// Select the edge with minimum weight
p = Q.top();
Q.pop();
x = p.second;// Checking for cycleif(marked[x]==true)continue;
minimumCost += p.first;
marked[x]=true;for(int i =0;i < adj[x].size();++i)
y = adj[x][i].second;if(marked[y]==false)
Q.push(adj[x][i]);return minimumCost;intmain()int nodes, edges, x, y;longlong weight, minimumCost;
cin >> nodes >> edges;for(int i =0;i < edges;++i)
cin >> x >> y >> weight;
adj[x].push_back(make_pair(weight, y));
adj[y].push_back(make_pair(weight, x));// Selecting 1 as the starting node
minimumCost =prim(1);
cout << minimumCost << endl;return0;
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