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COMPGEOM
2005
ACM
15 years 8 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...
DIALM
2005
ACM
104views Algorithms» more  DIALM 2005»
15 years 8 months ago
Information dissemination in highly dynamic graphs
We investigate to what extent flooding and routing is possible if the graph is allowed to change unpredictably at each time step. We study what minimal requirements are necessary...
Regina O'Dell, Roger Wattenhofer
COMPGEOM
2008
ACM
15 years 8 months ago
Reeb spaces of piecewise linear mappings
Generalizing the concept of a Reeb graph, the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of ...
Herbert Edelsbrunner, John Harer, Amit K. Patel
PODS
2010
ACM
159views Database» more  PODS 2010»
15 years 8 months ago
On probabilistic fixpoint and Markov chain query languages
We study highly expressive query languages such as datalog, fixpoint, and while-languages on probabilistic databases. We generalize these languages such that computation steps (e....
Daniel Deutch, Christoph Koch, Tova Milo
CSR
2008
Springer
15 years 8 months ago
Cracks in the Defenses: Scouting Out Approaches on Circuit Lower Bounds
Razborov and Rudich identified an imposing barrier that stands in the way of progress toward the goal of proving superpolynomial lower bounds on circuit size. Their work on "n...
Eric Allender