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ICALP
2009
Springer
14 years 8 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
GD
2004
Springer
14 years 1 months ago
Partitions of Complete Geometric Graphs into Plane Trees
Consider the following question: does every complete geometric graph K2n have a partition of its edge set into n plane spanning trees? We approach this problem from three directio...
Prosenjit Bose, Ferran Hurtado, Eduardo Rivera-Cam...
ICRA
2008
IEEE
147views Robotics» more  ICRA 2008»
14 years 2 months ago
Automatic deployment and formation control of decentralized multi-agent networks
— Novel tools are needed to deploy multi-agent networks in applications that require a high degree of accuracy in the achievement and maintenance of geometric formations. This is...
Brian Stephen Smith, Magnus Egerstedt, Ayanna M. H...
WAW
2007
Springer
85views Algorithms» more  WAW 2007»
14 years 2 months ago
A Spatial Web Graph Model with Local Influence Regions
We present a new stochastic model for complex networks, based on a spatial embedding of the nodes, called the Spatial Preferred Attachment (SPA) model. In the SPA model, nodes have...
William Aiello, Anthony Bonato, C. Cooper, Jeannet...
GD
2008
Springer
13 years 9 months ago
Visibility Representations of Four-Connected Plane Graphs with Near Optimal Heights
A visibility representation of a graph G is to represent the nodes of G with non-overlapping horizontal line segments such that the line segments representing any two distinct adja...
Chieh-Yu Chen, Ya-Fei Hung, Hsueh-I Lu