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20102026
most citedSimplicial degree in complex networks. Applications of Topological Data Analysis to Network Science

35 citations · 35 across the 8 of their papers we have counts for

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math.AT2025

From Persistence to Resilience: New Betti Numbers for Analyzing Robustness in Simplicial Complex Networks

Pablo Hernández-García, Daniel Hernández Serrano, Darío Sánchez Gómez

We show how persistence can be used to measure the robustness of cohomological cycles in finite simplicial complexes. We introduce two families of invariants: thick Betti numbers,…