Jianxi Li, Wai Chee Shiu, An Chang
Abstract
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The Laplacian spectral radius of a graph is the largest eigenvalue of the associated Laplacian matrix. In this paper, we improve Shi’s upper bound for the Laplacian spectral radius of irregular graphs and present some new bounds for the Laplacian spectral radius of some classes of graphs.
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The Laplacian spectral radius of a graph is the largest eigenvalue of the associated Laplacian matrix. In this paper, we improve Shi’s upper bound for the Laplacian spectral radius of irregular graphs and present some new bounds for the Laplacian spectral radius of some classes of graphs.
Key concepts: Spectral radius, Laplacian matrix, Mathematics, Laplace operator, Eigenvalues and eigenvectors, Algebraic connectivity, Combinatorics, RADIUS