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math.AT2013★ 2 cited
Distributed computation of homology using harmonics
Harish Chintakunta, Hamid Krim
We present a distributed algorithm to compute the first homology of a simplicial complex. Such algorithms are very useful in topological analysis of sensor networks, such as its co…
cs.CG2013★ 2 cited
Distributed boundary tracking using alpha and Delaunay-Cech shapes
Harish Chintakunta, Hamid Krim
For a given point set in a plane, we develop a distributed algorithm to compute the shape of . shapes are well known geometric objects which generalize the idea of a…