Python實(shí)現(xiàn)迪杰斯特拉算法并生成最短路徑的示例代碼
def Dijkstra(network,s,d):#迪杰斯特拉算法算s-d的最短路徑,并返回該路徑和代價(jià) print('Start Dijstra Path……') path=[]#s-d的最短路徑 n=len(network)#鄰接矩陣維度,即節(jié)點(diǎn)個(gè)數(shù) fmax=999 w=[[0 for i in range(n)]for j in range(n)]#鄰接矩陣轉(zhuǎn)化成維度矩陣,即0→max book=[0 for i in range(n)]#是否已經(jīng)是最小的標(biāo)記列表 dis=[fmax for i in range(n)]#s到其他節(jié)點(diǎn)的最小距離 book[s-1]=1#節(jié)點(diǎn)編號(hào)從1開始,列表序號(hào)從0開始 midpath=[-1 for i in range(n)]#上一跳列表 for i in range(n): for j in range(n): if network[i][j]!=0:w[i][j]=network[i][j]#0→max else:w[i][j]=fmax if i==s-1 and network[i][j]!=0:#直連的節(jié)點(diǎn)最小距離就是network[i][j]dis[j]=network[i][j] for i in range(n-1):#n-1次遍歷,除了s節(jié)點(diǎn) min=fmax for j in range(n): if book[j]==0 and dis[j]<min:#如果未遍歷且距離最小min=dis[j]u=j book[u]=1 for v in range(n):#u直連的節(jié)點(diǎn)遍歷一遍 if dis[v]>dis[u]+w[u][v]:dis[v]=dis[u]+w[u][v]midpath[v]=u+1#上一跳更新 j=d-1#j是序號(hào) path.append(d)#因?yàn)榇鎯?chǔ)的是上一跳,所以先加入目的節(jié)點(diǎn)d,最后倒置 while(midpath[j]!=-1): path.append(midpath[j]) j=midpath[j]-1 path.append(s) path.reverse()#倒置列表 print(path) #print(midpath) print(dis) #return pathnetwork=[[0,1,0,2,0,0], [1,0,2,4,3,0], [0,2,0,0,1,4], [2,4,0,0,6,0], [0,3,1,6,0,2], [0,0,4,0,2,0]]Dijkstra(network,1,6)
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