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? ?? wrote:
> ***** To join INSNA, visit http://www.sfu.ca/~insna/ *****
> Dear list members.
> There is a "line graph" submenu in UCINET's Transform menu. I know
> "line graph" is constructed by making one line (edge) in input graph
> to one node in output graph.
> But, what's the meaning to make line to node? Can we have meaningful
> anaylsis result?
In the case of hypergraphs, line graphs can have a very direct
interpretation: where hyperedges represent groups, adjacent hyperedges
within the line graph represent groups whose memberships overlap. This
logic can be taken further by considering edges within the line graph as
(in a certain restricted sense) synonymous with the individuals who form
the intersections between the groups in question. If this line of
reasoning interests you, Breiger's well-known 1974 Social Forces piece
("The Duality of Persons and Groups") is a good place to start.
Hope that helps,
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