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» Third-Order Computation and Bounded Arithmetic
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COMPGEOM
2004
ACM
15 years 2 months ago
An energy-driven approach to linkage unfolding
We present a new algorithm for unfolding planar polygonal linkages without self-intersection based on following the gradient flow of a “repulsive” energy function. This algor...
Jason H. Cantarella, Erik D. Demaine, Hayley N. Ib...
CORR
2007
Springer
98views Education» more  CORR 2007»
14 years 9 months ago
Bistable Biorders: A Sequential Domain Theory
We give a simple order-theoretic construction of a Cartesian closed category of sequential functions. It is based on bistable biorders, which are sets with a partial order — the ...
James Laird
80
Voted
VC
2008
102views more  VC 2008»
14 years 9 months ago
Solving nonlinear polynomial systems in the barycentric Bernstein basis
We present a method for solving arbitrary systems of N nonlinear polynomials in n variables over an n-dimensional simplicial domain based on polynomial representation in the baryce...
Martin Reuter, Tarjei S. Mikkelsen, Evan C. Sherbr...
STOC
2009
ACM
144views Algorithms» more  STOC 2009»
15 years 10 months ago
Homology flows, cohomology cuts
We describe the first algorithm to compute maximum flows in surface-embedded graphs in near-linear time. Specifically, given a graph embedded on a surface of genus g, with two spe...
Erin W. Chambers, Jeff Erickson, Amir Nayyeri
FOCS
2009
IEEE
15 years 4 months ago
Linear Systems over Composite Moduli
We study solution sets to systems of generalized linear equations of the form ℓi(x1, x2, · · · , xn) ∈ Ai (mod m) where ℓ1, . . . , ℓt are linear forms in n Boolean var...
Arkadev Chattopadhyay, Avi Wigderson