Question: How to generate all non-isomorphic graphs of a certain order with the same degree sequence

I am trying to generate all non-isomorphic graphs of a certain order and size that have the same degree sequence (not necessarily regular). I assume I would have to use the select option in GraphTheory[NonIsomorphicGraphs] command, however, there are no examples (that I could find) of how to use the option. Any idea how this could be done?

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