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cs.CG2025
A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images
Erin W. Chambers, Guangyu Meng
Reeb graphs are a fundamental structure for analyzing the topological and geometric properties of scalar fields. Comparing Reeb graphs is crucial for advancing research in this dom…
cs.CG2025
Towards an Optimal Bound for the Interleaving Distance on Mapper Graphs
Erin Wolf Chambers, Ishika Ghosh, Elizabeth Munch +2
Mapper graphs are widely used tools in topological data analysis and visualization. They can be understood as discrete approximations of Reeb graphs, providing insight into the sha…