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PDCAT
2005
Springer
14 years 27 days ago
Approximating Spanning Trees with Inner Nodes Cost
We consider the practical NP-complete problem of finding a minimum weight spanning tree with both edge weights and inner nodes weights. We present two polynomial time algorithms ...
Rudolf Fleischer, Qi Ge, Jian Li, Shijun Tian, Hai...
FOCS
2004
IEEE
13 years 11 months ago
Triangulation and Embedding Using Small Sets of Beacons
Concurrent with recent theoretical interest in the problem of metric embedding, a growing body of research in the networking community has studied the distance matrix defined by n...
Jon M. Kleinberg, Aleksandrs Slivkins, Tom Wexler
FOCS
1998
IEEE
13 years 11 months ago
The Finite Capacity Dial-A-Ride Problem
In the Finite Capacity Dial-a-Ride problem the input is a metric space, a set of objects {di}, each specifying a source si and a destination ti, and an integer k--the capacity of t...
Moses Charikar, Balaji Raghavachari
COMPGEOM
2008
ACM
13 years 9 months ago
Circular partitions with applications to visualization and embeddings
We introduce a hierarchical partitioning scheme of the Euclidean plane, called circular partitions. Such a partition consists of a hierarchy of convex polygons, each having small ...
Krzysztof Onak, Anastasios Sidiropoulos
APPROX
2009
Springer
125views Algorithms» more  APPROX 2009»
14 years 2 months ago
Minimizing Average Shortest Path Distances via Shortcut Edge Addition
We consider adding k shortcut edges (i.e. edges of small fixed length δ ≥ 0) to a graph so as to minimize the weighted average shortest path distance over all pairs of vertices...
Adam Meyerson, Brian Tagiku