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» Geometric and algebraic combinatorics
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MP
2010
150views more  MP 2010»
13 years 3 months ago
The algebraic degree of semidefinite programming
Given a generic semidefinite program, specified by matrices with rational entries, each coordinate of its optimal solution is an algebraic number. We study the degree of the minima...
Jiawang Nie, Kristian Ranestad, Bernd Sturmfels
COMPGEOM
2010
ACM
14 years 1 months ago
A kinetic triangulation scheme for moving points in the plane
We present a simple randomized scheme for triangulating a set P of n points in the plane, and construct a kinetic data structure which maintains the triangulation as the points of...
Haim Kaplan, Natan Rubin, Micha Sharir
COMPGEOM
2010
ACM
14 years 1 months ago
Kinetic stable Delaunay graphs
The best known upper bound on the number of topological changes in the Delaunay triangulation of a set of moving points in R2 is (nearly) cubic, even if each point is moving with ...
Pankaj K. Agarwal, Jie Gao, Leonidas J. Guibas, Ha...
JCB
2006
144views more  JCB 2006»
13 years 8 months ago
Modeling Virus Self-Assembly Pathways: Avoiding Dynamics Using Geometric Constraint Decomposition
We develop a model for elucidating the assembly pathways by which an icosahedral viral shell forms from 60 identical constituent protein monomers. This poorly understood process a...
Meera Sitharam, Mavis Agbandje-Mckenna
CSR
2008
Springer
13 years 10 months ago
Invariant Generation for P-Solvable Loops with Assignments
We discuss interesting properties of a general technique for inferring polynomial invariants for a subfamily of imperative loops, called the P-solvable loops, with assignments only...
Laura Kovács