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math.CO2014
Acyclic Subgraphs of Planar Digraphs
Noah Golowich, David Rolnick
An acyclic set in a digraph is a set of vertices that induces an acyclic subgraph. In 2011, Harutyunyan conjectured that every planar digraph on vertices without directed 2-cyc…
math.CO2014★ 1 cited
Resolving a Conjecture on Degree of Regularity of Linear Homogeneous Equations
Noah Golowich
A linear equation is -regular, if, for every -coloring of the positive integers, there exist positive integers of the same color which satisfy the equation. In 2005, Fox and…