1 citations · 2 across the 4 of their papers we have counts for
4 papers
Brown functors of directed graphs
Hsuan-Yi Liao, Zachary McGuirk, Dang Khoa Nguyen +1
We prove that any digraph Brown functor -- i.e. a contravariant functor from the homotopy category of finite directed graphs to the category of abelian groups, satisfying the trivi…
Strong convexity for harmonic functions on compact symmetric spaces
Gabor Lippner, Dan Mangoubi, Zachary McGuirk +1
Let be a harmonic function defined on a spherical disk. It is shown that is nonnegative for all where is the Laplace-Beltrami operator. This f…
Brown representability for directed graphs
Zachary McGuirk, Byungdo Park
We prove that any contravariant functor from the homotopy category of finite directed graphs to abelian groups satisfying the additivity axiom and the Mayer-Vietoris axiom is repre…
Global Poincaré inequality on Graphs via Conical Curvature-Dimension Conditions
Sajjad Lakzian, Zachary McGuirk
We introduce and study the conical curvature-dimension condition, , for graphs. We show that provides necessary and sufficient conditions for the underlying gr…