# Shortest Path Graph Calculator

## 1836 days ago by tlevaur

import networkx as nx; #load('graph.sage') #DONT FORGET TO CHANGE THIS #change graph name G = Graph({0:[1,2],1:[3],2:[3],3:[4,5],4:[6],5:[6],6:[7,8],7:[9],8:[9],9:[]}) start = 0 dest = order(G)-1 #if you get an error...your destination is probably wrong plot(G) dist = G.shortest_path_length(start,dest) m = matrix(1, dist+1) i = 0 for p in nx.all_shortest_paths(G,source=start,target=dest): i=i+1; b = matrix(p); m = m.insert_row(i,b[0]); m = m.delete_rows([0]); paths = len(m.rows()) SPGAM = matrix(paths,paths); print m,dist,paths print 'The Length of the Shortest Path is', dist print 'There are', paths, 'unique paths in the graph.' for i in range(paths): for j in range(paths): if i == j: SPGAM[i,j] = 3; else: if j < i: SPGAM[i,j] = 3; #print m #print i for i in range(paths): j = i+1; while j < paths: differences = 0; for k in range(dist): if m[i][k] != m[j][k]: differences = differences + 1; if differences == 1: SPGAM[i,j] = 1; else: if i == j: SPGAM[i,j]=3; else: SPGAM[i,j] = 0; j = j + 1; #print SPGAM Output = Graph() for i in range(paths): for j in range(paths): if SPGAM[i][j] == 1: Output.add_edge(i,j); plot(Output)
 [0 1 3 4 6 7 9] [0 2 3 4 6 7 9] [0 1 3 5 6 7 9] [0 2 3 5 6 7 9] [0 1 3 4 6 8 9] [0 2 3 4 6 8 9] [0 1 3 5 6 8 9] [0 2 3 5 6 8 9] 6 8 The Length of the Shortest Path is 6 There are 8 unique paths in the graph. [0 1 3 4 6 7 9] [0 2 3 4 6 7 9] [0 1 3 5 6 7 9] [0 2 3 5 6 7 9] [0 1 3 4 6 8 9] [0 2 3 4 6 8 9] [0 1 3 5 6 8 9] [0 2 3 5 6 8 9] 6 8 The Length of the Shortest Path is 6 There are 8 unique paths in the graph.