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I am seeking the edge lists of the complements of named graphs on n vertices. At first sight I would use
G=Part[GraphData[n],i]
GC=GraphComplement[G]
edges=EdgeList[GC]
However GraphComplement requires a graph object. How do I convert G into an object accepted by GraphComplement? Thank you.
GraphData[5] returns a list of specifications of graphs with 5 vertices. Apply GraphData again to such a specification to get an actual graph.
For example,
GraphData[{"Wheel", 5}]
where {"Wheel", 5} is the last element from GraphData[5].
The GraphData documentation page has many such examples.
GraphComplement[GraphData[GraphData[n][[i]]]]? $\endgroup$