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ECCC
1998
117views more  ECCC 1998»
13 years 6 months ago
Determinant: Old Algorithms, New Insights
In this paper we approach the problem of computing the characteristic polynomial of a matrix from the combinatorial viewpoint. We present several combinatorial characterizations of...
Meena Mahajan, V. Vinay
COMPGEOM
2011
ACM
12 years 10 months ago
Zigzag persistent homology in matrix multiplication time
We present a new algorithm for computing zigzag persistent homology, an algebraic structure which encodes changes to homology groups of a simplicial complex over a sequence of sim...
Nikola Milosavljevic, Dmitriy Morozov, Primoz Skra...
COMPGEOM
2010
ACM
13 years 11 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
13 years 11 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...
CSR
2008
Springer
13 years 6 months ago
Colouring, constraint satisfaction, and complexity
Constraint satisfaction problems have enjoyed much attention since the early seventies, and in the last decade have become also a focus of attention amongst theoreticians. Graph c...
Pavol Hell, Jaroslav Nesetril