Add edges to a graph without changing original topology

Using the example from https://www.mathworks.com/help/matlab/math/modify-nodes-and-edges-of-existing-graph.html.

Consider the following graph

s = [1 1 1 2];
t = [2 3 4 3];
G = graph(s,t)
plot(G)
G = addedge(G,[1 2],[5 5])
hold on
plot(G)

This gives

Is it possible to add new edges to the original (blue) graph without changing its topology? My purpose is to create an animation where I can see additional nodes and edges being added to an initial topology in each iteration. I don't want the topology to change at every iteration.

Thank you!

[Walter Roberson]

By definition, NO, any addition of an edge to a Graph changes its topology.

I wonder if you are instead concerned about the layout of the graph? You can control where the vertices are drawn; see the plot() method for graph()