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...
This paper presents a new unified subdivision scheme that is defined over a k-simplicial complex in n-D space with k 3. We first present a series of definitions to facilitate top...
Performing distributed consensus in a network has been an important research problem for several years, and is directly applicable to sensor networks, autonomous vehicle formation...
Daniel Thai, Elizabeth Bodine-Baron, Babak Hassibi
Fix a finite set of points in Euclidean n-space En , thought of as a point-cloud sampling of a certain domain D En . The VietorisRips complex is a combinatorial simplicial complex...
Erin W. Chambers, Vin de Silva, Jeff Erickson, Rob...
tract Stone Duality) is a re-axiomatisation of general topology in which the topology on a space is treated, not as an infinitary lattice, but as an exponential object of the same...