intersection creates the intersection of two or more graphs:
only edges present in all graphs will be included. The corresponding
operator is %s%.
If the byname argument is TRUE (or auto and all graphs
are named), then the operation is performed on symbolic vertex names instead
of the internal numeric vertex ids.
intersection keeps the attributes of all graphs. All graph,
vertex and edge attributes are copied to the result. If an attribute is
present in multiple graphs and would result a name clash, then this
attribute is renamed by adding suffixes: _1, _2, etc.
The name vertex attribute is treated specially if the operation is
performed based on symbolic vertex names. In this case name must be
present in all graphs, and it is not renamed in the result graph.
An error is generated if some input graphs are directed and others are
undirected.