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Your search keyword '"Issmail El Hallaoui"' showing total 12 results
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12. Minimum values of the second largest Q-eigenvalue

Author

Issmail El Hallaoui and Mustapha Aouchiche

Subjects
Combinatorics, Matrix (mathematics), Applied Mathematics, Diagonal matrix, Spectrum (functional analysis), Discrete Mathematics and Combinatorics, Order (group theory), Adjacency matrix, Mathematics::Spectral Theory, Signless laplacian, Connectivity, Eigenvalues and eigenvectors, Mathematics
Abstract

For a graph G , the signless Laplacian matrix Q ( G ) is defined as Q ( G ) = D ( G ) + A ( G ) , where A ( G ) is the adjacency matrix of G and D ( G ) the diagonal matrix whose main entries are the degrees of the vertices in G . The Q -spectrum of G is that of Q ( G ) . In the present paper, we are interested in the minimum values of the second largest signless Laplacian eigenvalue q 2 ( G ) of a connected graph G . We find the five smallest values of q 2 ( G ) over the set of connected graphs G with given order n . We also characterize the corresponding extremal graphs.

Published
2022
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