I have a graph of network of people, and I want to draw the clusters of some nodes. To make the edges between nodes less clutter, I've made the border of the clusters more weight. However I still feel that the edges are in the way of the graph, especially the ones connect the nodes inside the clusters to the outside. I've tried making the edge more opaque, but then I need to opaque all the edges for consistency, and by then the connections between the nodes seem weak.
Is there any way to make the connections less clutter?
SVG file. Characters from xkcd.