3 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.AT2022
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…
math.AT2019
Digital Hurewicz Theorem and Digital Homology Theory
Samira Sahar Jamil, Danish Ali
In this paper, we develop homology groups for digital images based on cubical singular homology theory for topological spaces. Using this homology, we present digital Hurewicz theo…