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Mathematica > Mathematics and Algorithms > Graphs & Networks > Graph Operations and Modifications > GraphUnion >
Mathematica > Visualization and Graphics > Graphs & Networks > Graph Operations and Modifications > GraphUnion >
Mathematica > Mathematics and Algorithms > Graphs & Networks > Constructing Graphs > Graph Operations and Modifications > GraphUnion >
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GraphUnion

GraphUnion
gives the graph union of the graphs and .
GraphUnion
gives the graph union of , , ....
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Basic Examples   (2)
The graph union of two graphs with some vertices being the same:
With different vertices:
The graph union of two graphs with some vertices being the same:
In[1]:=
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Out[1]=
 
With different vertices:
In[1]:=
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Out[1]=
Scope   (3)
GraphUnion works with undirected graphs:
Directed graphs:
GraphUnion works with more than two graphs:
Properties & Relations   (8)
The vertices of the graph union are the union of the vertices of the graphs:
The edges of the graph union are the union of the edges of the graphs:
The graph union of a graph and its subgraph is isomorphic to itself:
The graph union of any simple graph and its complement is a complete graph:
The GraphUnion of two graphs has the same vertices as GraphDifference:
The GraphUnion of two graphs has the same vertices as GraphIntersection:
The GraphDisjointUnion can be found using GraphUnion:
The adjacency matrix for a disjoint union corresponds to the block-diagonal of adjacency matrices:
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