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CCCG
2009
13 years 8 months ago
Approximating Maximum Flow in Polygonal Domains using Spanners
We study a maximum flow problem in a polygonal domain P: Determine the maximum number of disjoint "thick" paths (of specified width w) through P from a source edge to a ...
Joondong Kim, Joseph S. B. Mitchell, Jingyu Zou
DCOSS
2008
Springer
13 years 9 months ago
Local PTAS for Independent Set and Vertex Cover in Location Aware Unit Disk Graphs
We present the first local approximation schemes for maximum independent set and minimum vertex cover in unit disk graphs. In the graph model we assume that each node knows its geo...
Andreas Wiese, Evangelos Kranakis
STOC
2010
ACM
193views Algorithms» more  STOC 2010»
14 years 11 days ago
Maintaining a large matching and a small vertex cover
We consider the problem of maintaining a large matching and a small vertex cover in a dynamically changing graph. Each update to the graph is either an edge deletion or an edge in...
Krzysztof Onak, Ronitt Rubinfeld
CORR
2010
Springer
98views Education» more  CORR 2010»
13 years 7 months ago
Electrical Flows, Laplacian Systems, and Faster Approximation of Maximum Flow in Undirected Graphs
We introduce a new approach to computing an approximately maximum s-t flow in a capacitated, undirected graph. This flow is computed by solving a sequence of electrical flow probl...
Paul Christiano, Jonathan A. Kelner, Aleksander Ma...
CGF
2006
125views more  CGF 2006»
13 years 7 months ago
Translational Covering of Closed Planar Cubic B-Spline Curves
Spline curves are useful in a variety of geometric modeling and graphics applications and covering problems abound in practical settings. This work defines a class of covering dec...
Cristina Neacsu, Karen Daniels