On the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph

Ji-Ming Guo; Jianxi Li; Wai Chee Shiu

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Displaying similar documents to “On the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph”

Laplacian integral graphs with maximum degree 3.

Kirkland, Steve (2008)

The Electronic Journal of Combinatorics [electronic only]

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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...

The Laplacian spread of graphs

Zhifu You, Bo Lian Liu (2012)

Czechoslovak Mathematical Journal

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The Laplacian spread of a graph is defined as the difference between the largest and second smallest eigenvalues of the Laplacian matrix of the graph. In this paper, bounds are obtained for the Laplacian spread of graphs. By the Laplacian spread, several upper bounds of the Nordhaus-Gaddum type of Laplacian eigenvalues are improved. Some operations on Laplacian spread are presented. Connected $c$ -cyclic graphs with $n$ vertices and Laplacian spread $n - 1$ are discussed.

Ordering Cacti With $n$ Vertices and $k$ Cycles by Their Laplacian Spectral Radii

Shu-Guang Guo, Yan-Feng Wang (2012)

Publications de l'Institut Mathématique

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The Laplacian spread of tricyclic graphs.

Chen, Yanqing, Wang, Ligong (2009)

The Electronic Journal of Combinatorics [electronic only]

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Displaying similar documents to “On the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph”

Laplacian integral graphs with maximum degree 3.

Some properties of the distance Laplacian eigenvalues of a graph

The Laplacian spread of graphs

Ordering Cacti With n Vertices and k Cycles by Their Laplacian Spectral Radii

The Laplacian spread of tricyclic graphs.

Ordering Cacti With $n$ Vertices and $k$ Cycles by Their Laplacian Spectral Radii