Gorde:
| Egile Nagusiak: | , , , |
|---|---|
| Formatua: | Preprint |
| Argitaratua: |
2021
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| Gaiak: | |
| Sarrera elektronikoa: | https://arxiv.org/abs/2102.00698 |
| Etiketak: |
Etiketa erantsi
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Aurkibidea:
- In the present paper, we introduce a concept of Ricci curvature on hypergraphs for a nonlinear Laplacian. We prove that our definition of the Ricci curvature is a generalization of Lin-Lu-Yau coarse Ricci curvature for graphs to hypergraphs. We also show a lower bound of nonzero eigenvalues of Laplacian, gradient estimate of heat flow, and diameter bound of Bonnet-Myers type for our curvature notion. This research leads to understanding how nonlinearity of Laplacian causes complexity of curvatures.