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Graph Operations and Modifications
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GraphPower
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Graph Operations and Modifications
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BUILT-IN MATHEMATICA SYMBOL
Graph
AdjacencyMatrix
See Also »
|
Graph Operations and Modifications
New in 8.0: Alphabetical Listing
More About »
GraphPower
GraphPower
gives the graph-
n
power of the graph
g
.
MORE INFORMATION
The graph-
n
power has the same vertices and vertex
is adjacent to vertex
only if there is a path of at most length
n
from
to
.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Graph power of cycle graphs:
Graph power of cycle graphs:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Scope
(2)
GraphPower
works with undirected graphs:
Directed graphs:
Properties & Relations
(2)
Raising a connected graph to the power of its graph diameter gives a complete graph:
Graph-
powers can be obtained by the sum of the first
powers of the adjacency matrix:
SEE ALSO
Graph
AdjacencyMatrix
MORE ABOUT
Graph Operations and Modifications
New in 8.0: Alphabetical Listing
New in 8