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» An Optimal Minimum Spanning Tree Algorithm
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BIRTHDAY
2009
Springer
15 years 7 months ago
The Weak Gap Property in Metric Spaces of Bounded Doubling Dimension
We introduce the weak gap property for directed graphs whose vertex set S is a metric space of size n. We prove that, if the doubling dimension of S is a constant, any directed gra...
Michiel H. M. Smid
STOC
2010
ACM
261views Algorithms» more  STOC 2010»
15 years 5 months ago
An Improved LP-based Approximation for Steiner Tree
The Steiner tree problem is one of the most fundamental ÆÈ-hard problems: given a weighted undirected graph and a subset of terminal nodes, find a minimum weight tree spanning ...
Jaroslaw Byrka, Fabrizio Grandoni, Thomas Rothvoss...
117
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ALGORITHMICA
2002
101views more  ALGORITHMICA 2002»
15 years 6 days ago
Improved Algorithms for Constructing Fault-Tolerant Spanners
Let S be a set of n points in a metric space, and k a positive integer. Algorithms are given that construct k-fault-tolerant spanners for S. If in such a spanner at most k vertice...
Christos Levcopoulos, Giri Narasimhan, Michiel H. ...
92
Voted
APPROX
2007
Springer
115views Algorithms» more  APPROX 2007»
15 years 6 months ago
Improved Approximation Algorithms for the Spanning Star Forest Problem
A star graph is a tree of diameter at most two. A star forest is a graph that consists of node-disjoint star graphs. In the spanning star forest problem, given an unweighted graph ...
Ning Chen, Roee Engelberg, C. Thach Nguyen, Prasad...
DCOSS
2006
Springer
15 years 4 months ago
GIST: Group-Independent Spanning Tree for Data Aggregation in Dense Sensor Networks
Abstract. Today, there exist many algorithms and protocols for constructing agregation or dissemination trees for wireless sensor networks that are optimal (for different notions o...
Lujun Jia, Guevara Noubir, Rajmohan Rajaraman, Rav...