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The signless Laplacian spread

✍ Scribed by Muhuo Liu; Bolian Liu


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
174 KB
Volume
432
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


Bounds for the signless Laplacian energy
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We survey properties of spectra of signless Laplacians of graphs and discuss possibilities for developing a spectral theory of graphs based on this matrix. For regular graphs the whole existing theory of spectra of the adjacency matrix and of the Laplacian matrix transfers directly to the signless L

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We give tight conditions on the signless Laplacian spectral radius of a graph for the existence of Hamiltonian paths and cycles.

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In this paper we give two results concerning the signless Laplacian spectra of simple graphs. Firstly, we give a combinatorial expression for the fourth coefficient of the (signless Laplacian) characteristic polynomial of a graph. Secondly, we consider limit points for the (signless Laplacian) eigen

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By the signless Laplacian of a (simple) graph G we mean the matrix , where A(G), D(G) denote respectively the adjacency matrix and the diagonal matrix of vertex degrees of G. It is known that connected graphs G that maximize the signless Laplacian spectral radius ρ(Q (G)) over all connected graphs