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» Fibrations of Simplicial Sets
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WG
2009
Springer
14 years 2 months ago
Chordal Digraphs
Chordal graphs, also called triangulated graphs, are important in algorithmic graph theory. In this paper we generalise the definition of chordal graphs to the class of directed ...
Daniel Meister, Jan Arne Telle
DCG
2008
90views more  DCG 2008»
13 years 7 months ago
Enumeration in Convex Geometries and Associated Polytopal Subdivisions of Spheres
We construct CW spheres from the lattices that arise as the closed sets of a convex closure, the meet-distributive lattices. These spheres are nearly polytopal, in the sense that t...
Louis J. Billera, Samuel K. Hsiao, J. Scott Provan
COMPGEOM
2010
ACM
14 years 15 days ago
Optimal reconstruction might be hard
Sampling conditions for recovering the homology of a set using topological persistence are much weaker than sampling conditions required by any known algorithm for producing a top...
Dominique Attali, André Lieutier
ISBI
2011
IEEE
12 years 11 months ago
Sparse topological data recovery in medical images
For medical image analysis, the test statistic of the measurements is usually constructed at every voxels in space and thresholded to determine the regions of significant signals...
Moo K. Chung, Hyekyoung Lee, Peter T. Kim, Jong Ch...
CORR
2007
Springer
182views Education» more  CORR 2007»
13 years 7 months ago
Triangulating the Real Projective Plane
We consider the problem of computing a triangulation of the real projective plane P2 , given a finite point set P = {p1, p2, . . . , pn} as input. We prove that a triangulation of...
Mridul Aanjaneya, Monique Teillaud