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Minimizing Laplacian spectral radius of unicyclic graphs with fixed girth
Laplacian matrix Laplacian spectral radius girth unicyclic graph
2011/1/18
In this paper we consider the following problem: Over the class of all simple con-nected unicyclic graphs on n vertices with girth g (n, g being fixed), which graph minimizes the Laplacian spectral ra...
Extremal spectral properties of Lawson tori and the Lamé equation
Lawson torus Lawson minimal surfaces extremal metric
2010/11/26
Extremal spectral properties of the Lawson tori are studied. A Law-son torus carries an extremal metric for some eigenvalue j of the Laplace-Beltrami operator. We prove that the metric on a Lawson to...