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High-Order Random Walks and Generalized Laplacians on Hypergraphs

High-Order Random Walks and Generalized Laplacians on Hypergraphs

Despite the extreme success of spectral graph theory, there are relatively few papers applying spectral analysis to hypergraphs. Chung first introduced Laplacians for regular hypergraphs and showed some useful applications. Other researchers have treated hypergraphs as weighted graphs and then studied the Laplacians of the corresponding weighted graphs. In this …