The main part of the spectrum, divisors and switching of graphs.

D.M. Cvetkovic

Displaying similar documents to “The main part of the spectrum, divisors and switching of graphs.”

Cutpoints, lobes and the spectra of graphs

Grone, Robert, Merris, Russell (1988)

Portugaliae mathematica

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On formal products and the Seidel spectrum of graphs.

Lepović, Mirko (1998)

Publications de l'Institut Mathématique. Nouvelle Série

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Some properties of the distance Laplacian eigenvalues of a graph

Mustapha Aouchiche, Pierre Hansen (2014)

Czechoslovak Mathematical Journal

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The distance Laplacian of a connected graph $G$ is defined by $ℒ = Diag (Tr) - 𝒟$ , where $𝒟$ is the distance matrix of $G$ , and $Diag (Tr)$ is the diagonal matrix whose main entries are the vertex transmissions in $G$ . The spectrum of $ℒ$ is called the distance Laplacian spectrum of $G$ . In the present paper, we investigate some particular distance Laplacian eigenvalues. Among other results, we show that the complete graph is the unique graph with only two distinct distance Laplacian eigenvalues. We establish some properties...