BOUNDS ON THE FIRST NONZERO EIGENVALUE FOR SELF-ADJOINT BOUNDARY VALUE PROBLEMS ON NETWORKS

被引：1

作者：

Bendito, E. ^{[1
]}

Carmona, A. ^{[1
]}

Encinas, A. M. ^{[1
]}

Gesto, J. M. ^{[1
]}

机构：

[1] Univ Politecn Cataluna, Dept Matemat Aplicada 3, ES-08034 Barcelona, Spain

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2008年 / 2卷 / 01期

关键词：

Networks; self-adjoint eigenvalue problems; discrete laplacian; equilibrium measures; distance-regular graphs;

D O I：

10.2298/AADM0801092B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We aim here at obtaining bounds on the first nonzero eigenvalue for self-adjoint boundary value problems on a weighted network by means of equilibrium measures, that include the study of DIRICHLET, NEUMANN and Mixed problems. We also show the sharpness of these bounds throughout the analysis of some examples. In particular we emphasize the case of distance-regular graphs and we show that the obtained bounds are better than those known until now.

引用

页码：92 / 106

页数：15

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