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math.CO2020
Planar lattice subsets with minimal vertex boundary
Radhika Gupta, Ivan Levcovitz, Alexander Margolis +1
A subset of vertices of a graph is minimal if, within all subsets of the same size, its vertex boundary is minimal. We give a complete, geometric characterization of minimal sets f…
math.GR2020★ 9 cited
Groups acting on CAT(0) cube complexes with uniform exponential growth
Radhika Gupta, Kasia Jankiewicz, Thomas Ng
We study uniform exponential growth of groups acting on CAT(0) cube complexes. We show that groups acting without global fixed points on CAT(0) square complexes either have uniform…