Dear Marty,
Since you're interested in how your physicians are interacting, the nodes or vertices of your network could be individual physicians and the ties or links between them could be "shared patients". The strength of the tie between Doctors A and B could be the number of patients who have visited both A and B. In this case you would have an "undirected" graph because the tie/link between A and B has no direction. If instead you were interested in how social network analysis informed how doctors refer patients to other doctors, you would have a "directed" graph where A refers a patient to B and the direction is A to B.
I also recommend the various R packages for social network analysis.
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Eric Vance
LISA (Virginia Tech's Laboratory for Interdisciplinary Statistical Analysis)
Director and Assistant Research Professor
Blacksburg VA, United States
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