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» Geometry of Upper Probabilities
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COMPGEOM
2006
ACM
15 years 12 months ago
Online geometric reconstruction
We investigate a new class of geometric problems based on the idea of online error correction. Suppose one is given access to a large geometric dataset though a query mechanism; f...
Bernard Chazelle, C. Seshadhri
COMPGEOM
2004
ACM
15 years 11 months ago
Binary space partitions of orthogonal subdivisions
We consider the problem of constructing binary space partitions (BSPs) for orthogonal subdivisions (space filling packings of boxes) in d-space. We show that a subdivision with n...
John Hershberger, Subhash Suri, Csaba D. Tó...
COMPGEOM
2003
ACM
15 years 11 months ago
Loops in reeb graphs of 2-manifolds
Given a Morse function over a 2-manifold with or without boundary, the Reeb graph is obtained by contracting the connected components of the level sets to points. We prove tight u...
Kree Cole-McLaughlin, Herbert Edelsbrunner, John H...
COCOON
1999
Springer
15 years 10 months ago
On Routing in Circulant Graphs
We investigate various problems related to circulant graphs – finding the shortest path between two vertices, finding the shortest loop, and computing the diameter. These probl...
Jin-yi Cai, George Havas, Bernard Mans, Ajay Nerur...
STOC
1995
ACM
115views Algorithms» more  STOC 1995»
15 years 9 months ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein