نتایج جستجو برای: seidel laplacian eigenvalues

تعداد نتایج: 31896  

Journal: :Proceedings of the Japan Academy, Series A, Mathematical Sciences 1982

Journal: :Integral Equations and Operator Theory 2017

Journal: :Taiwanese Journal of Mathematics 2016

Journal: :Linear Algebra and its Applications 2011

Journal: :Topological Methods in Nonlinear Analysis 1995

Journal: :Annals of Global Analysis and Geometry 2013

2005
Xiao Bai Richard C. Wilson Edwin R. Hancock

The heat-kernel of a graph is computed by exponentiating the Laplacian eigen-system with time. In this paper, we study the heat kernel mapping of the nodes of a graph into a vector-space. Specifically, we investigate whether the resulting point distribution can be used for the purposes of graphclustering. Our characterisation is based on the covariance matrix of the point distribution. We explo...

Journal: :Electr. J. Comb. 2010
Saieed Akbari Ebrahim Ghorbani Jacobus H. Koolen Mohammad Reza Oboudi

Let G be a graph of order n with signless Laplacian eigenvalues q1, . . . , qn and Laplacian eigenvalues μ1, . . . , μn. It is proved that for any real number α with 0 < α 6 1 or 2 6 α < 3, the inequality qα 1 + · · · + qα n > μ1 + · · · + μn holds, and for any real number β with 1 < β < 2, the inequality q 1 + · · ·+ q n 6 μβ1 + · · ·+ μ β n holds. In both inequalities, the equality is attaine...

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