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Discrete Einstein metrics on unicyclic graphs

Bai, Shuliang
arXiv (All) · Papers
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05c50combinatorics
In earlier work with Cheng and Hua we showed that on a finite tree the Lin--Lu--Yau discrete Einstein equation is a single linear eigenvalue problem: the metric is the Perron eigenvector of an edge-indexed Ricci matrix. We extend this theory to unicyclic graphs. For geodesic cycle weightings of girt
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