我正在尝试将prims alghoritm实现到我的图形程序中,但是我遇到了一些困难,我遵循的指南是
http://www.geeksforgeeks.org/greedy-algorithms-set-5-prims-minimum-spanning-tree-mst-2/
它似乎在某种程度上运行良好,但指南输出是:
Edge Weight
0 - 1 2
1 - 2 3
0 - 3 6
1 - 4 5
我的解决方案是:
Edge Weight
1 - 0 2
1 - 2 3
1 - 3 8 <---- this one seems off.
1 - 4 5
我真的不知道我的代码有什么问题。
我的代码是:
void b_Prim(){
reset_adjmat(G); // resets current adjmat and creates a new one.
int V = b_card(G); // b_card = cardinality
int count, i, v, u, min_index, min = -1,pIndex = 1;
int key[V]; // Key values used to pick minimum eWeight edge in cut
int mstSet[V]; // To represent set of vertices not yet included in MST
// Initialize all keys as INFINITE
for (i = 0; i < V; i++){
key[i] = -1;
mstSet[i] = 0;
}
// Always include first 1st vertex in MST.
key[0] = 0; // Make key 0 so that this vertex is picked as first vertex
source[0] = -1; // First node is always root of MST
// The MST will have V vertices
for (count = 0; count < V-1; count++)
{
// Pick thd minimum key vertex from the set of vertices
// not yet included in MST
for (v = 0; v < V; v++)
if (mstSet[v] == 0 && ((min == -1 && key[v] != -1) || key[v] < min)){
min = key[v];
min_index = v;
}
u = min_index;
// Add the picked vertex to the MST Set
mstSet[u] = 1;
// Update key value and source index of the adjacent vertices of
// the picked vertex. Consider only those vertices which are not yet
// included in MST
for (v= 0; v < V; v++)
// graph[u][v] is non zero only for adjacent vertices of m
// mstSet[v] is false for vertices not yet included in MST
// Update the key only if graph[u][v] is smaller than key[v]
if (adjmat[u][v] != 0 && mstSet[v] == 0 && (key[v] == -1 || adjmat[u][v] < key[v])){
source[pIndex] = u;
dest[pIndex] = v;
key[v] = adjmat[u][v];
eWeight[pIndex] = key[v];
pIndex++;
}else if(adjmat[u][v] != 0 && mstSet[v] == 0 && key[v] == 0){
source[pIndex] = u;
dest[pIndex] = v;
eWeight[pIndex] = adjmat[u][v];
pIndex++;
}
}
}
最佳答案
此评论:
// Initialize all keys as INFINITE
与代码不对应:
key[i] = -1;
由于您进一步使用此比较:
key[v] < min
如果
key[v]
是-1
将产生不同的结果,而如果key[v]
是“无穷大”,则会产生不同的结果。换言之,这会导致上述比较的真实性大大提高。可能还有更多的问题-我还没有详细检查,但使用
pIndex
看起来可疑,例如。关于c - Prim的算法,我们在Stack Overflow上找到一个类似的问题:https://stackoverflow.com/questions/24145687/