The paper introduces dimension-agnostic simplicial degree measures and a multi-combinatorial Laplacian, then uses them to describe higher-order connectivity in 17 real-world networks.
Bullo, Lectures on Network Systems , CreateSpace (2018)
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Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science
The paper introduces dimension-agnostic simplicial degree measures and a multi-combinatorial Laplacian, then uses them to describe higher-order connectivity in 17 real-world networks.