Dirichlet p-Laplacian eigenvalues and Cheeger constants on symmetric graphs

Dirichlet p-Laplacian eigenvalues and Cheeger constants on symmetric graphs

发布人: 曹思圆发布时间: 2020-06-29 浏览次数: 88

报告人：王丽莉博士（复旦大学）

时间：2020/7/3, 13:00-14:00

地点：腾讯会议 ID：550 952 906 https://meeting.tencent.com/s/uYEnqVsd7uko

Abstract：In this paper, we study eigenvalues and eigenfunctions of p-Laplacians with Dirichlet boundary condition on graphs. We characterize the ?rst eigenfunction (and the maximum eigenfunction for a bipartite graph) via the sign condition. By the uniqueness of the ?rst eigenfunction of p-Laplacian, as p → 1, we identify the Cheeger constant of a symmetric graph with that of the quotient graph. By this approach, we calculate various Cheeger constants of spherically symmetric graphs. This is a joint work with B. Hua.