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» Distributed Approximation Algorithms for Planar Graphs
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COMPGEOM
2006
ACM
15 years 3 months ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
IPL
2007
81views more  IPL 2007»
14 years 9 months ago
Linear-time algorithms for problems on planar graphs with fixed disk dimension
The disk dimension of a planar graph G is the least number k for which G embeds in the plane minus k open disks, with every vertex on the boundary of some disk. Useful properties ...
Faisal N. Abu-Khzam, Michael A. Langston
ICALP
2009
Springer
15 years 10 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 ...
STOC
2003
ACM
119views Algorithms» more  STOC 2003»
15 years 10 months ago
Constant factor approximation of vertex-cuts in planar graphs
Eyal Amir, Robert Krauthgamer, Satish Rao