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- W4299614669 abstract "We first develop a general framework for Laplace operators defined in terms of the combinatorial structure of a simplicial complex. This includes, among others, the graph Laplacian, the combinatorial Laplacian on simplicial complexes, the weighted Laplacian, and the normalized graph Laplacian. This framework then allows us to define the normalized Laplace operator $Delta_{i}^{up}$ on simplicial complexes which we then systematically investigate. We study the effects of a wedge sum, a join and a duplication of a motif on the spectrum of the normalized Laplace operator, and identify some of the combinatorial features of a simplicial complex that are encoded in its spectrum." @default.
- W4299614669 created "2022-10-02" @default.
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- W4299614669 date "2011-05-13" @default.
- W4299614669 modified "2023-10-01" @default.
- W4299614669 title "Spectra of combinatorial Laplace operators on simplicial complexes" @default.
- W4299614669 doi "https://doi.org/10.48550/arxiv.1105.2712" @default.
- W4299614669 hasPublicationYear "2011" @default.
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