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» Bounds on the k-domination number of a graph
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CORR
2011
Springer
170views Education» more  CORR 2011»
14 years 9 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
14 years 11 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 1 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
108
Voted
SODA
2003
ACM
103views Algorithms» more  SODA 2003»
15 years 3 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
89
Voted
SIAMDM
2000
69views more  SIAMDM 2000»
15 years 1 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