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STACS
2009
Springer
14 years 2 months ago
Polynomial-Time Approximation Schemes for Subset-Connectivity Problems in Bounded-Genus Graphs
We present the first polynomial-time approximation schemes (PTASes) for the following subset-connectivity problems in edge-weighted graphs of bounded genus: Steiner tree, low-conn...
Glencora Borradaile, Erik D. Demaine, Siamak Tazar...
JCO
2008
117views more  JCO 2008»
13 years 7 months ago
Approximation algorithms for connected facility location problems
We study Connected Facility Location problems. We are given a connected graph G = (V, E) with nonnegative edge cost ce for each edge e E, a set of clients D V such that each cli...
Mohammad Khairul Hasan, Hyunwoo Jung, Kyung-Yong C...
SIAMDM
2008
139views more  SIAMDM 2008»
13 years 7 months ago
Approximate Integer Decompositions for Undirected Network Design Problems
A well-known theorem of Nash-Williams and Tutte gives a necessary and sufficient condition for the existence of k edge-disjoint spanning trees in an undirected graph. A corollary o...
Chandra Chekuri, F. Bruce Shepherd
SODA
2010
ACM
178views Algorithms» more  SODA 2010»
14 years 4 months ago
Tree Embeddings for Two-Edge-Connected Network Design
The group Steiner problem is a classical network design problem where we are given a graph and a collection of groups of vertices, and want to build a min-cost subgraph that conne...
Anupam Gupta, Ravishankar Krishnaswamy, R. Ravi
STOC
2006
ACM
186views Algorithms» more  STOC 2006»
14 years 7 months ago
A subset spanner for Planar graphs, : with application to subset TSP
Let > 0 be a constant. For any edge-weighted planar graph G and a subset S of nodes of G, there is a subgraph H of G of weight a constant times that of the minimum Steiner tree...
Philip N. Klein