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math.AT2021
Morse Theoretic Templates for High Dimensional Homology Computation
Shaun Harker, Konstantin Mischaikow, Kelly Spendlove
We introduce the notion of a template for discrete Morse theory. Templates provide a memory efficient approach to the computation of homological invariants (e.g., homology, persist…
math.AT2018
A Comparison Framework for Interleaved Persistence Modules
Shaun Harker, Miroslav Kramar, Rachel Levanger +1
We present a generalization of the induced matching theorem and use it to prove a generalization of the algebraic stability theorem for -indexed pointwise finite-dimens…