85 citations · 285 across the 40 of their papers we have counts for
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math.OC2013★ 42 cited
Minimal Dirichlet energy partitions for graphs
Braxton Osting, Chris D. White, Edouard Oudet
Motivated by a geometric problem, we introduce a new non-convex graph partitioning objective where the optimality criterion is given by the sum of the Dirichlet eigenvalues of the…
math.AP2013★ 85 cited
Mean curvature, threshold dynamics, and phase field theory on finite graphs
Yves van Gennip, Nestor Guillen, Braxton Osting +1
In the continuum, close connections exist between mean curvature flow, the Allen-Cahn (AC) partial differential equation, and the Merriman-Bence-Osher (MBO) threshold dynamics sche…
math.OC2013★ 20 cited
Long-lived Scattering Resonances and Bragg Structures
Braxton Osting, Michael I. Weinstein
We consider a system governed by the wave equation with index of refraction , taken to be variable within a bounded region , and constant in $\mathbb R^…