Eigenvalues of normalized vs unnormalized Laplacian of weighted digraph
$begingroup$
Let $G$ be a weighted digraph. What is the connection between the eigenvalues of the normalized and unnormalized Laplacians of $G$. I think there is no explicit connection. We can at most find some inequalities on these eigenvalues.
I appreciate any comment or response.
Thanks.
linear-algebra graph-theory eigenvalues-eigenvectors control-theory algebraic-graph-theory
asked Jan 20 at 19:06
ArthurArthur
50012
$endgroup$
add a comment |
$begingroup$
Let $G$ be a weighted digraph. What is the connection between the eigenvalues of the normalized and unnormalized Laplacians of $G$. I think there is no explicit connection. We can at most find some inequalities on these eigenvalues.
I appreciate any comment or response.
Thanks.
linear-algebra graph-theory eigenvalues-eigenvectors control-theory algebraic-graph-theory
asked Jan 20 at 19:06
ArthurArthur
50012
$endgroup$
add a comment |
$begingroup$
Let $G$ be a weighted digraph. What is the connection between the eigenvalues of the normalized and unnormalized Laplacians of $G$. I think there is no explicit connection. We can at most find some inequalities on these eigenvalues.
I appreciate any comment or response.
Thanks.
linear-algebra graph-theory eigenvalues-eigenvectors control-theory algebraic-graph-theory
asked Jan 20 at 19:06
ArthurArthur
50012
$endgroup$
Let $G$ be a weighted digraph. What is the connection between the eigenvalues of the normalized and unnormalized Laplacians of $G$. I think there is no explicit connection. We can at most find some inequalities on these eigenvalues.
I appreciate any comment or response.
Thanks.
linear-algebra graph-theory eigenvalues-eigenvectors control-theory algebraic-graph-theory
linear-algebra graph-theory eigenvalues-eigenvectors control-theory algebraic-graph-theory
asked Jan 20 at 19:06
ArthurArthur
50012
asked Jan 20 at 19:06
ArthurArthur
50012
asked Jan 20 at 19:06
ArthurArthur
50012
asked Jan 20 at 19:06
ArthurArthur
50012
asked Jan 20 at 19:06
ArthurArthur
50012
50012
add a comment |
add a comment |
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