This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# GraphIntersection

 GraphIntersection gives the graph intersection of the graphs and . GraphIntersectiongives the graph intersection of , , ....
The graph intersection of two graphs with some vertices being the same:
The graph intersection of two graphs with some vertices being the same:
 Out[1]=
 Scope   (2)
GraphIntersection works with undirected graphs:
Directed graphs:
The vertices of the graph intersection are the union of the vertices of the graphs:
The edges of the graph intersection are the intersection of the edges of the graphs:
The graph intersection of any graph and itself is isomorphic to the original graph:
The graph intersection of a graph and its subgraph has the same edges as its subgraph:
The intersection of any graph and its complement is an empty graph:
The intersection of two graphs with different names is an empty graph:
The GraphIntersection of two graphs has the same vertices as GraphUnion:
The GraphIntersection of two graphs has the same vertices as GraphDifference:
New in 8