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» Expanders are universal for the class of all spanning trees
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PODS
1994
ACM
138views Database» more  PODS 1994»
13 years 11 months ago
Dyn-FO: A Parallel, Dynamic Complexity Class
Traditionally, computational complexity has considered only static problems. Classical Complexity Classes such as NC, P, and NP are de ned in terms of the complexity of checking {...
Sushant Patnaik, Neil Immerman
JSYML
2008
100views more  JSYML 2008»
13 years 7 months ago
Measurable chromatic numbers
We show that if add(null) = c, then the globally Baire and universally measurable chromatic numbers of the graph of any Borel function on a Polish space are equal and at most three...
Benjamin D. Miller
COMPGEOM
2010
ACM
14 years 16 days ago
Optimal partition trees
We revisit one of the most fundamental classes of data structure problems in computational geometry: range searching. Back in SoCG’92, Matouˇsek gave a partition tree method fo...
Timothy M. Chan
STOC
1993
ACM
109views Algorithms» more  STOC 1993»
13 years 11 months ago
Routing permutations on graphs via matchings
We consider a class of routing problems on connected graphs G. Initially, each vertex v of G is occupied by a “pebble” which has a unique destination π(v) in G (so that π is...
Noga Alon, Fan R. K. Chung, Ronald L. Graham
JDA
2007
97views more  JDA 2007»
13 years 7 months ago
Local solutions for global problems in wireless networks
In this paper, we review a recently developed class of algorithms that solve global problems in unit distance wireless networks by means of local algorithms. A local algorithm is ...
Jorge Urrutia