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COMPGEOM
2005
ACM
13 years 9 months ago
Stability of persistence diagrams
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
GLVLSI
2000
IEEE
145views VLSI» more  GLVLSI 2000»
13 years 12 months ago
Manhattan or non-Manhattan?: a study of alternative VLSI routing architectures
Circuit interconnect has become a substantial obstacle in the design of high performance systems. In this paper we explore a new routing paradigm that strikes at the root of the i...
Cheng-Kok Koh, Patrick H. Madden
COMPGEOM
2005
ACM
13 years 9 months ago
Inequalities for the curvature of curves and surfaces
In this paper, we bound the difference between the total mean curvatures of two closed surfaces in R3 in terms of their total absolute curvatures and the Fr´echet distance betwee...
David Cohen-Steiner, Herbert Edelsbrunner
FOCS
2005
IEEE
14 years 1 months ago
How to Pay, Come What May: Approximation Algorithms for Demand-Robust Covering Problems
Robust optimization has traditionally focused on uncertainty in data and costs in optimization problems to formulate models whose solutions will be optimal in the worstcase among ...
Kedar Dhamdhere, Vineet Goyal, R. Ravi, Mohit Sing...
CORR
2010
Springer
122views Education» more  CORR 2010»
13 years 7 months ago
Facility Location with Client Latencies: Linear-Programming based Techniques for Minimum-Latency Problems
We introduce a problem that is a common generalization of the uncapacitated facility location (UFL) and minimum latency (ML) problems, where facilities not only need to be opened ...
Deeparnab Chakrabarty, Chaitanya Swamy