4 papers
Shadowing and inverse shadowing in spaces retractable onto graphs
Jonathan Meddaugh, Elyssa Stephens
In this paper, we show that shadowing and inverse shadowing are generic properties for spaces in which there exists an -retraction onto a graph for any …
Chromatic numbers with open and nonzero local modular constraints
Daniel Herden, Jonathan Meddaugh, Mark R. Sepanski +9
In this paper, we explore chromatic numbers subject to various local modular constraints. For fixed , we consider proper integer colorings of a graph for which the closed an…
Shadowing With Small Diameter Sets Of Bounded Cardinality
Jonathan Meddaugh, Elyssa Stephens
We examine dynamical systems with the property that pseudo-orbits can be traced by small diameter sets with bounded cardinality. In particular, we show that mixing sofic subshifts…
Chromatic numbers with closed local modular constraints
Daniel Herden, Jonathan Meddaugh, Mark R. Sepanski +9
Generalizing the notion of odd-sum colorings, a -labeling of a graph is called a closed coloring with remainder if the closed neighborhood label sum of ea…