3 citations · 5 across the 13 of their papers we have counts for
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math.CO2022
Cofibration category of digraphs for path homology
Daniel Carranza, Brandon Doherty, Chris Kapulkin +3
We prove that the category of directed graphs and graph maps carries a cofibration category structure in which the weak equivalences are the graph maps inducing isomorphisms on pat…
math.CO2022★ 3 cited
Cubical setting for discrete homotopy theory, revisited
Daniel Carranza, Chris Kapulkin
We construct a functor associating a cubical set to a (simple) graph. We show that cubical sets arising in this way are Kan complexes, and that the A-groups of a graph coincide wit…