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- W4379958302 abstract "In this paper we investigate some properties of the Fiedler vector, the so-called first non-trivial eigenvector of the Laplacian matrix of a graph. There are important results about the Fiedler vector to identify spectral cuts in graphs but far less is known about its extreme values and points. We propose a few results and conjectures in this direction. We also bring two concrete contributions, i) by defining a new measure for graphs that can be interpreted in terms of extremality (inverse of centrality), ii) by applying a small perturbation to the Fiedler vector of cerebral shapes such as the corpus callosum to robustify their parameterization." @default.
- W4379958302 created "2023-06-09" @default.
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- W4379958302 date "2023-06-07" @default.
- W4379958302 modified "2023-10-17" @default.
- W4379958302 title "Perturbation of Fiedler vector: interest for graph measures and shape analysis" @default.
- W4379958302 doi "https://doi.org/10.48550/arxiv.2306.04327" @default.
- W4379958302 hasPublicationYear "2023" @default.
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