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» Some Lower Bounds on Geometric Separability Problems
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ISAAC
2005
Springer
111views Algorithms» more  ISAAC 2005»
15 years 3 months ago
Multi-directional Width-Bounded Geometric Separator and Protein Folding
We introduce the concept of multi-directional width-bounded geometric separator and get improved separator for the grid graph, which improves exact algorithm for the protein foldin...
Bin Fu, Sorinel Adrian Oprisan, Lizhe Xu
COCOON
2005
Springer
15 years 3 months ago
A PTAS for a Disc Covering Problem Using Width-Bounded Separators
In this paper, we study the following disc covering problem: Given a set of discs of various radii on the plane, find a subset of discs to maximize the area covered by exactly on...
Zhixiang Chen, Bin Fu, Yong Tang, Binhai Zhu
IPCO
1993
98views Optimization» more  IPCO 1993»
14 years 11 months ago
A spectral approach to bandwidth and separator problems in graphs
Lower bounds on the bandwidth, the size of a vertex separator of general undirected graphs, and the largest common subgraph of two undirected (weighted) graphs are obtained. The b...
Christoph Helmberg, Bojan Mohar, Svatopluk Poljak,...
FSTTCS
2004
Springer
15 years 3 months ago
Testing Geometric Convexity
We consider the problem of determining whether a given set S in Rn is approximately convex, i.e., if there is a convex set K ∈ Rn such that the volume of their symmetric differe...
Luis Rademacher, Santosh Vempala
82
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ICALP
2004
Springer
15 years 3 months ago
Quantum Query Complexity of Some Graph Problems
Quantum algorithms for graph problems are considered, both in the adjacency matrix model and in an adjacency list-like array model. We give almost tight lower and upper bounds for ...
Christoph Dürr, Mark Heiligman, Peter H&oslas...