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The central curve in linear programming
Linear programming interior point methods matroid Tutte polynomial hyperbolic
2011/2/22
The central curve of a linear program is an algebraic curve speci ed by linear and quadratic constraints arising from complementary slackness. It is the union of the various central paths for minimizi...
On a General Linear Nonlocal Curvature Flow of Convex Plane Curves
General Linear Nonlocal Curvature Flow Convex Plane Curves
2011/1/17
Motivated by Pan-Yang [PY] and Ma-Cheng [MC], we study a general linear nonlocal cur-vature flow for convex closed plane curves and discuss the short time existence and asymptotic
convergence behavio...
Lifting Tropical Curves in Space and Linear Systems on Graphs
Tropical Curves in Space Linear Systems Graphs
2010/12/2
Tropicalization is a procedure for associating a polyhedral complex to a subva-riety of an algebraic torus. We study the question on which graphs arise from tropicalizing algebraic curves. By using Ba...