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» On the Approximability of the Steiner Tree Problem in Phylog...
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96
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STACS
2009
Springer
15 years 6 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»
14 years 11 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»
14 years 11 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
93
Voted
SODA
2010
ACM
178views Algorithms» more  SODA 2010»
15 years 9 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»
15 years 12 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