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» Third-Order Computation and Bounded Arithmetic
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COMPGEOM
2004
ACM
14 years 26 days 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»
13 years 7 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
VC
2008
102views more  VC 2008»
13 years 7 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»
14 years 8 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
14 years 2 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