The Faber-Krahn type isoperimetric inequalities for a graph

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概要

• 論文の詳細を見る

• In this paper, a graph theoretic analog to the celebrated Faber-Krahn inequality for the first eigenvalue of the Dirichlet problem of the Laplacian for a bounded domain in the Euclidean space is shown. Namely, the optimal estimate of the first eigenvalue of the Dirichlet boundary problem of the combinatorial Laplacian for a graph with boundary is given.

• 東北大学の論文

著者

• Urakawa Hajime

  Mathematical Laboratories Graduate School Of Information Sciences Tohoku University

• Urakawa Hajime

  Mathematics Laboratories Graduate School Of Information Sciences Tohoku University

• Katsuda Atsushi

  Department of Mathematics, Faculty of Sciences, Okayama University

• Katsuda Atsushi

  Department Of Mathematics Faculty Of Sciences Okayama University

関連論文

• Spectra of the Discrete and Continuous Laplacians on Graphs and Riemannian Manifolds
• The Faber-Krahn type isoperimetric inequalities for a graph
• A pinching problem for locally homogeneous spaces

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