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JGT
2010
113views more  JGT 2010»
13 years 5 months ago
Crossing numbers of imbalanced graphs
The crossing number, cr(G), of a graph G is the least number of crossing points in any drawing of G in the plane. According to the Crossing Lemma of Ajtai, Chv´atal, Newborn, Sze...
János Pach, József Solymosi, G&aacut...
STOC
2004
ACM
121views Algorithms» more  STOC 2004»
14 years 7 months ago
Lower bounds for dynamic connectivity
We prove an (lg n) cell-probe lower bound on maintaining connectivity in dynamic graphs, as well as a more general trade-off between updates and queries. Our bound holds even if t...
Mihai Patrascu, Erik D. Demaine
CCCG
2009
13 years 8 months ago
The Bichromatic Rectangle Problem in High Dimensions
Given a set of blue points and a set of red points in ddimensional space, we show how to find an axis-aligned hyperrectangle that contains no red points and as many blue points as...
Jonathan Backer, J. Mark Keil
ALGORITHMICA
2004
111views more  ALGORITHMICA 2004»
13 years 7 months ago
The Hausdorff Voronoi Diagram of Point Clusters in the Plane
We study the Hausdorff Voronoi diagram of point clusters in the plane, a generalization of Voronoi diagrams based on the Hausdorff distance function. We derive a tight combinatori...
Evanthia Papadopoulou
OOPSLA
2007
Springer
14 years 1 months ago
Using early phase termination to eliminate load imbalances at barrier synchronization points
We present a new technique, early phase termination, for eliminating idle processors in parallel computations that use barrier synchronization. This technique simply terminates ea...
Martin C. Rinard