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JGT
2010
113views more  JGT 2010»
14 years 8 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»
15 years 9 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
14 years 10 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»
14 years 9 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
15 years 3 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