23 citations · 61 across the 30 of their papers we have counts for
35 papers
Homotopy equivalence of digital pictures in
Dae-Woong Lee, P. Christopher Staecker
We investigate the properties of digital homotopy in the context of digital pictures , where is a finite set, is an adjacency relation on ,…
The Face Group of a Simplicial Complex
Gregory Lupton, Nicholas A. Scoville, P. Christopher Staecker
The edge group of a simplicial complex is a well-known, combinatorial version of the fundamental group. It is a group associated to a simplicial complex that consists of equivalenc…
At most n-valued maps
Daciberg Lima Goncalves, Robert Skiba, P. Christopher Staecker
This paper concerns various models of ``at-most--valued maps''. That is, multivalued maps for which has cardinality at most for each . We consider…
On digital H-spaces
Wayne A. Johnson, Dae-Woong Lee, P. Christopher Staecker
In this article, we investigate properties of digital H-spaces in the graph theoretic model of digital topology. As in prior work, the results obtained often depend fundamentally o…
Ahead of the Count: An Algorithm for Probabilistic Prediction of Instant Runoff (IRV) Elections
Nicholas Kapoor, P. Christopher Staecker
How can we probabilistically predict the winner in a ranked-choice election without all ballots being counted? In this study, we introduce a novel algorithm designed to predict out…
Digital topological groups
Dae-Woong Lee, P. Christopher Staecker
In this article, we develop the basic theory of digital topological groups. The basic definitions directly lead to two separate categories, based on the details of the continuity r…