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20112026
most citedComparative analysis of two discretizations of Ricci curvature for complex networks

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math.SP2022

Nodal domain theorems for -Laplacians on signed graphs

Chuanyuan Ge, Shiping Liu, Dong Zhang

We establish various nodal domain theorems for -Laplacians on signed graphs, which unify most of the existing results on nodal domains of graph -Laplacians and arbitrary symm…

math.SP2022

Symmetric Matrices, Signed Graphs, and Nodal Domain Theorems

Chuanyuan Ge, Shiping Liu

In 2001, Davies, Gladwell, Leydold, and Stadler proved discrete nodal domain theorems for eigenfunctions of generalized Laplacians, i.e., symmetric matrices with non-positive off-d…