Can I show the edge weights on a graph in a drawing?

edit

Don't know how to animate a graph, but

G = DiGraph(A, format='weighted_adjacency_matrix') H = G.plot(edge_labels=True, graph_border=True) H.show()

will display the weights in a graph with adj matrix A.

Two more points: First, I found the following site helpful for displaying graphs http://www.sagenb.org/home/pub/2351/

Second, graphviz is really great at displaying graphs with edge labels and many other decorations. Its a whole graph layout programming language, but it can't be included in sage because of a licensing issue apparently. The link above shows how to output a graph from sage to a dot file suitable for graphviz. For example, after downloading graphviz on your computer, you can run "dotty file.dot".