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COMPGEOM
2011
ACM
12 years 8 months ago
Reeb graphs: approximation and persistence
Given a continuous function f : X → IR on a topological space X, its level set f−1 (a) changes continuously as the real value a changes. Consequently, the connected components...
Tamal K. Dey, Yusu Wang
SIAMDM
2010
136views more  SIAMDM 2010»
12 years 11 months ago
Obnoxious Centers in Graphs
We consider the problem of finding obnoxious centers in graphs. For arbitrary graphs with n vertices and m edges, we give a randomized algorithm with O(n log2 n + m log n) expecte...
Sergio Cabello, Günter Rote
COMPGEOM
2011
ACM
12 years 8 months ago
An output-sensitive algorithm for persistent homology
In this paper, we present the first output-sensitive algorithm to compute the persistence diagram of a filtered simplicial complex. For any Γ > 0, it returns only those homo...
Chao Chen, Michael Kerber
STOC
2009
ACM
133views Algorithms» more  STOC 2009»
14 years 5 months ago
Near-perfect load balancing by randomized rounding
We consider and analyze a new algorithm for balancing indivisible loads on a distributed network with n processors. The aim is minimizing the discrepancy between the maximum and m...
Tobias Friedrich, Thomas Sauerwald