score:2
You could by modifying D3's force layout, or by creating your own layout based on it. There are at least 3 places where randomness (Math.Random) is used in the positioning of nodes (there may be more, given the force layout references other code). You would have to eliminate all randomness in order to get the graph to display in the same way each time:
https://github.com/mbostock/d3/blob/master/src/layout/force.js
However, this would hamper how the layout works – it's using randomness to sort itself out into a legible diagram quickly. If your number of nodes is small, then it probably wouldn't be an issue, but a large number of nodes could just end up a tangle.
Source: stackoverflow.com
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