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math.CO2020
Homotopy Covers of Graphs
Tien Chih, Laura Scull
We develop a theory of -homotopy, fundamental groupoids and covering spaces that apply to non-simple graphs, generalizing existing results for simple graphs. We prove that…
math.CO2020
Fundamental Groupoids for Graphs
Tien Chih, Laura Scull
In this paper, we develop a -homotopy fundamental groupoid for graphs, and show a functorial relationship to the 2-category of graphs. We further explore the fundamental gr…