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- W3003472016 abstract "In this paper, we study eigenvalues and eigenfunctions of p-Laplacians with Dirichlet boundary condition on graphs. We characterize the first eigenfunction (and the maximum eigenfunction for a bipartite graph) via the sign condition. By the uniqueness of the first 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." @default.
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- W3003472016 date "2020-04-01" @default.
- W3003472016 modified "2023-10-18" @default.
- W3003472016 title "Dirichlet p-Laplacian eigenvalues and Cheeger constants on symmetric graphs" @default.
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- W3003472016 doi "https://doi.org/10.1016/j.aim.2020.106997" @default.
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