2 papers
math.AT2026
Quasimonophobic graphs and degree spectral sequences in discrete cubical homology
Samira Sahar Jamil, Mark Behrens
We introduce the degree filtration on the discrete cubical chain complex of a graph, defined in terms of the maximal injective dimension of the facets of singular -cubes, and st…
math.AT2026
Computability of digital cubical singular homology of -digital images
Samira Sahar Jamil, P Christopher Staecker, Danish Ali
Discrete cubical homology arose as the homology theory associated with discrete cubical homotopy theory. Despite the combinatorial nature of this homology, its computation has pose…