Laplacian Spectral Radius

The Laplacian spectral radius of a finite graph is defined as the largest value of its Laplacian spectrum, i.e., the largest eigenvalue of the Laplacian matrix (Lin et al. 2023) or largest root of the Laplacian polynomial.

The ratio of the Laplacian spectral radius to algebraic connectivity is known as the Laplacian spectral ratio.

See also

Algebraic Connectivity, Laplacian Matrix, Laplacian Polynomial, Laplacian Spectral Ratio, Spectral Radius

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References

Lin, Z.; Wang, J.; and Cai, M. "The Laplacian Spectral Ratio of Connected Graphs." 21 Feb 2023. https://arxiv.org/abs/2302.10491v1.

Cite this as:

Weisstein, Eric W. "Laplacian Spectral Radius." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LaplacianSpectralRadius.html

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