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Exact(26)
Let (D(M_{U})) be the diagonal matrix of vertex degrees of (M_{U}).
Let (D(G)) be the diagonal matrix of vertex degrees of G.
Let (A(G)) be the adjacency matrix of G and (D(G)) be the diagonal matrix of vertex degrees.
Let D be the diagonal matrix denoting the degree of N nodes where d i = ∑ j s(i j).
Write (A(G)) for the adjacency matrix of G and let (D(G)) be the diagonal matrix of the degrees of G.
Let be the diagonal matrix containing the total strength of all nodes, i.e.,, where ({mathbf{1}} in {mathbb{R}} ^{NL}) is the vector of all ones, then.
Similar(34)
We notice that any circulant matrix can be diagonalized as where is the diagonal matrix whose diagonal elements are the DFT of the first column of.
Here, is the diagonal matrix with diagonal elements.
is the diagonal matrix containing the dominant eigenvalues.
where is the diagonal matrix of eigenvalues (31).
where λ is the diagonal matrix of eigenvalues.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com