floyd warshall algorithm
Create a |V| x |V| matrix, M, that will describe the distances between vertices
For each cell (i, j) in M:
if i == j:
M[i][j] = 0
if (i, j) is an edge in E:
M[i][j] = weight(i, j)
else:
M[i][j] = infinity
for k from 1 to |V|:
for i from 1 to |V|:
for j from 1 to |V|:
if M[i][j] > M[i][k] + M[k][j]:
M[i][j] = M[i][k] + M[k][j]