The authors construct reduced and partial directed flag complexes whose homologies are naturally isomorphic to the singular quiver homologies, enabling efficient persistent homology computation.
Bauer,Ripser: efficient computation of vietoris–rips persistence barcodes, Journal of Applied and Computational Topology5(2021), 391–423
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Computing singular simplicial homologies of digraphs and quivers
The authors construct reduced and partial directed flag complexes whose homologies are naturally isomorphic to the singular quiver homologies, enabling efficient persistent homology computation.