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Mathematics and Algorithms
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Graphs & Networks
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Graph Covers and Independent Sets
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FindIndependentVertexSet
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Mathematica
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Visualization and Graphics
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Graphs & Networks
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Graph Covers and Independent Sets
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FindIndependentVertexSet
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BUILT-IN MATHEMATICA SYMBOL
IndependentVertexSetQ
FindIndependentEdgeSet
FindClique
See Also »
|
Graph Covers and Independent Sets
Graphs & Networks
New in 8.0: Alphabetical Listing
More About »
FindIndependentVertexSet
FindIndependentVertexSet
[
g
]
finds an independent vertex set of the graph
g
with a maximum number of vertices.
MORE INFORMATION
FindIndependentVertexSet
returns a list of vertices.
An independent vertex set is a set of vertices that are never incident to the same edge.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Find an independent vertex set in a complete graph:
Find an independent vertex set in a directed graph:
Find an independent vertex set in a complete graph:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Find an independent vertex set in a directed graph:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Scope
(2)
FindIndependentVertexSet
works with undirected graphs:
Directed graphs:
Properties & Relations
(4)
Test whether a set of vertices is an independent vertex set using
IndependentVertexSetQ
:
The complement of an independent vertex set is a vertex cover:
The complement subgraph given by an independent vertex set is complete:
Bipartite graphs have equal-length edge covers and independent vertex sets:
SEE ALSO
IndependentVertexSetQ
FindIndependentEdgeSet
FindClique
MORE ABOUT
Graph Covers and Independent Sets
Graphs & Networks
New in 8.0: Alphabetical Listing
New in 8