Is there anything special about the matrix $D^{-1}AD^{-1}$?
$begingroup$
I wonder if the matrix $M = D^{-1}AD^{-1}$ has some special properties where $A$ is the adjacency matrix of a graph and $D$ is its diagonal degree matrix.
I know that $D^{-1}A$ is the probability transition matrix and $D^{-1/2}AD^{-1/2}$ is the symmetric normalized Laplacian matrix but I cannot find any connection with the matrix $M$ above.
spectral-graph-theory
asked Dec 26 '18 at 9:35
v4rv4r
709
$endgroup$
add a comment |
$begingroup$
I wonder if the matrix $M = D^{-1}AD^{-1}$ has some special properties where $A$ is the adjacency matrix of a graph and $D$ is its diagonal degree matrix.
I know that $D^{-1}A$ is the probability transition matrix and $D^{-1/2}AD^{-1/2}$ is the symmetric normalized Laplacian matrix but I cannot find any connection with the matrix $M$ above.
spectral-graph-theory
asked Dec 26 '18 at 9:35
v4rv4r
709
$endgroup$
add a comment |
$begingroup$
I wonder if the matrix $M = D^{-1}AD^{-1}$ has some special properties where $A$ is the adjacency matrix of a graph and $D$ is its diagonal degree matrix.
I know that $D^{-1}A$ is the probability transition matrix and $D^{-1/2}AD^{-1/2}$ is the symmetric normalized Laplacian matrix but I cannot find any connection with the matrix $M$ above.
spectral-graph-theory
asked Dec 26 '18 at 9:35
v4rv4r
709
$endgroup$
I wonder if the matrix $M = D^{-1}AD^{-1}$ has some special properties where $A$ is the adjacency matrix of a graph and $D$ is its diagonal degree matrix.
I know that $D^{-1}A$ is the probability transition matrix and $D^{-1/2}AD^{-1/2}$ is the symmetric normalized Laplacian matrix but I cannot find any connection with the matrix $M$ above.
spectral-graph-theory
spectral-graph-theory
asked Dec 26 '18 at 9:35
v4rv4r
709
asked Dec 26 '18 at 9:35
v4rv4r
709
asked Dec 26 '18 at 9:35
v4rv4r
709
asked Dec 26 '18 at 9:35
v4rv4r
709
asked Dec 26 '18 at 9:35
v4rv4r
709
709
add a comment |
add a comment |
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