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DM
2002
102views more  DM 2002»
13 years 7 months ago
Infinite antichains of matroids with characteristic set {p}
For each prime p, we construct an infinite antichain of matroids in which each matroid has characteristic set {p}. For p = 2, each of the matroids in our antichain is an excluded m...
James G. Oxley, Charles Semple, Dirk L. Vertigan, ...
FOCS
2008
IEEE
14 years 1 months ago
Some Results on Greedy Embeddings in Metric Spaces
Geographic Routing is a family of routing algorithms that uses geographic point locations as addresses for the purposes of routing. Such routing algorithms have proven to be both ...
Ankur Moitra, Tom Leighton
FOCS
2003
IEEE
14 years 20 days ago
Bounded Geometries, Fractals, and Low-Distortion Embeddings
The doubling constant of a metric space (X, d) is the smallest value λ such that every ball in X can be covered by λ balls of half the radius. The doubling dimension of X is the...
Anupam Gupta, Robert Krauthgamer, James R. Lee
STOC
2004
ACM
134views Algorithms» more  STOC 2004»
14 years 7 months ago
Approximate max-integral-flow/min-multicut theorems
We establish several approximate max-integral-flow / minmulticut theorems. While in general this ratio can be very large, we prove strong approximation ratios in the case where th...
Kenji Obata
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
13 years 5 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer