Titlebook: Research in Computational Topology 2; Ellen Gasparovic,Vanessa Robins,Katharine Turner Book 2022 The Editor(s) (if applicable) and The Aut

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Book 2022ntaining the proceedings of the second workshop for Women in Computational Topology (WinCompTop) as well as papers solicited from the broader WinCompTop community. The multidisciplinary and international WinCompTop workshop provided an exciting and unique opportunity for women in diverse locations a

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The Persistent Homology of Dual Digital Image Constructions, two commonly used constructions (corresponding to direct and indirect digital adjacencies) can give different results for the same image. The two constructions are almost dual to each other, and we use this relationship to extend and modify the cubical complexes to become dual filtered cell complex

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Morse-Based Fibering of the Persistence Rank Invariant,dules are still lacking in the available topological data analysis toolboxes. Other issues, such as interpretation and visualization of the output, remain difficult to solve. Software visualizing multi-parameter persistence diagrams is currently only available for 2-dimensional persistence modules.

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Tile-Transitive Tilings of the Euclidean and Hyperbolic Planes by Ribbons,ariant equivalence. The hyperbolic case is relevant to self-assembly of branched polymers. Our result is achieved by combining and extending known methods for enumerating crystallographic disk-like tilings. We obtain a natural way of describing all possible stabiliser subgroups of tile-transitive ti

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