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CORR
2011
Springer
170views Education» more  CORR 2011»
15 years 1 months ago
Better Bounds for Incremental Frequency Allocation in Bipartite Graphs
We study frequency allocation in wireless networks. A wireless network is modeled by an undirected graph, with vertices corresponding to cells. In each vertex we have a certain nu...
Marek Chrobak, Lukasz Jez, Jiri Sgall
PROPERTYTESTING
2010
15 years 4 months ago
On Constant Time Approximation of Parameters of Bounded Degree Graphs
How well can the maximum size of an independent set, or the minimum size of a dominating set of a graph in which all degrees are at most d be approximated by a randomized constant...
Noga Alon
ENDM
2008
118views more  ENDM 2008»
15 years 6 months ago
Number of Crossing-Free Geometric Graphs vs. Triangulations
We show that there is a constant > 0 such that, for any set P of n 5 points in general position in the plane, a crossing-free geometric graph on P that is chosen uniformly at...
Andreas Razen, Jack Snoeyink, Emo Welzl
SODA
2003
ACM
103views Algorithms» more  SODA 2003»
15 years 7 months ago
On the rectilinear crossing number of complete graphs
We prove a lower bound of 0.3288   n 4¡ for the rectilinear crossing number cr(Kn) of a complete graph on n vertices, or in other words, for the minimum number of convex quadril...
Uli Wagner
SIAMDM
2000
69views more  SIAMDM 2000»
15 years 5 months ago
Bounds for Dispersers, Extractors, and Depth-Two Superconcentrators
We show that the size of the smallest depth-two N-superconcentrator is (N log2 N/ log log N). Before this work, optimal bounds were known for all depths except two. For the upper b...
Jaikumar Radhakrishnan, Amnon Ta-Shma