Year: 2026
Type: preprint
Abstract: We investigate discretized graph configuration spaces as defined by Aaron Abrams in his PhD thesis in 2000. Specifically, we extend Abrams' work by completely classifying which ones admitted by simple graphs are homeomorphic to closed manifolds. In the process of doing so, we develop techniques to translate topological properties of these spaces into graph theoretic ones.
Source: arXiv (Cornell University)
Authors: Murray, Justin, Wilcher, Zach
Institutions: Ball State University, University of Florida
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7168197487
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