In this document, we propose a bridge between the graphs and the geometric realizations of their Vietoris Rips complexes, i.e. Graphs, with their canonical {C}ech closure structure, have the same homotopy type that the realization of their Vietoris Rips complex.
No takes yet. Share an insight, caveat, or question.
Jonathan Treviño-Marroquín (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: