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 ...
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
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...
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...
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...