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cs.CG2022
Stable Homology-Based Cycle Centrality Measures
John Rick D. Manzanares, Paul Samuel P. Ignacio
Network centrality measures play a crucial role in understanding graph structures, assessing the importance of nodes, paths, or cycles based on directed or reciprocal interactions…
cs.CG2020
LUMÁWIG: An Efficient Algorithm for Dimension Zero Bottleneck Distance Computation in Topological Data Analysis
Paul Samuel Ignacio, Jay-Anne Bulauan, David Uminsky
Stability of persistence diagrams under slight perturbations is a key characteristic behind the validity and growing popularity of topological data analysis in exploring real-world…
cs.CG2020
Intrinsic Hierarchical Clustering Behavior Recovers Higher Dimensional Shape Information
Paul Samuel P. Ignacio
We show that specific higher dimensional shape information of point cloud data can be recovered by observing lower dimensional hierarchical clustering dynamics. We generate multipl…