On maximum signless Laplacian Estrada index of graphs with given parameters
Ars Mathematica Contemporanea, Tome 11 (2016) no. 2, pp. 381-389.

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For a simple graph G on n vertices, the signless Laplacian Estrada index is defined as SLEE(G) = ∑ i = 1neqi, where q1, q2, …, qn are the eigenvalues of the signless Laplacian matrix of G. In this paper, the unique graph on n vertices with maximum signless Laplacian Estrada index is determined among graphs with given number of cut edges, pendent vertices, (vertex) connectivity and edge connectivity, respectively.
DOI : 10.26493/1855-3974.838.8fd
Keywords: Signless Laplacian Estrada index, semi-edge walk, cut edge, vertex connectivity, edge connectivity
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Hamid Reza Ellahi; Gholam Hossein Fath-Tabar; Ahmad Gholami; Ramin Nasiri. On maximum signless Laplacian Estrada index of graphs with given parameters. Ars Mathematica Contemporanea, Tome 11 (2016) no. 2, pp. 381-389. doi : 10.26493/1855-3974.838.8fd. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.838.8fd/

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