# delete_edge() Won't Delete Edges from Graph

Title says it all, really. The following code only outputs complete graphs and I can't figure out why.

```
def SR(G):
H = G
for a in G.vertices():
for b in G.vertices():
H.add_edge(a,b)
for v in G.vertices():
for w in G.vertices():
for n in G[v]:
for m in G[w]:
if H.distance(v, m) >= H.distance(v, w):
G.delete_edge(v , w)
elif H.distance(n, w) H.distance(v, w):
G.delete_edge(v , w)
return G
```

This is supposed to output the *strong resolving graph* of a particular graph $G$, which can be defined to be the graph formed by taking the vertices of $G$ and making a pair $u,v$ adjacent if for all $n \in N(u)$ and all $n' \in N(v)$, we have $d(n, v) \leq d(u, v)$ and $d(u, n') \leq d(u, v)$. In other words we connect vertices if nothing in their neighborhoods in the original graph is farther. Being new to sage I have no idea why my code above wouldn't work. What do I do?