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NETWORKS
2006
13 years 4 months ago
Lower bounds for the relative greedy algorithm for approximating Steiner trees
Abstract. The Steiner tree problem is to find a shortest subgraph that spans a given set of vertices in a graph. This problem is known to be NP-hard and it is well known that a pol...
Stefan Hougardy, Stefan Kirchner
SODA
2004
ACM
152views Algorithms» more  SODA 2004»
13 years 6 months ago
Approximation schemes for minimum 2-edge-connected and biconnected subgraphs in planar graphs
Given an undirected graph, finding either a minimum 2-edge-connected spanning subgraph or a minimum 2vertex-connected (biconnected) spanning subgraph is MaxSNP-hard. We show that ...
Artur Czumaj, Michelangelo Grigni, Papa Sissokho, ...
ISAAC
2007
Springer
183views Algorithms» more  ISAAC 2007»
13 years 11 months ago
The Complexity of Finding Subgraphs Whose Matching Number Equals the Vertex Cover Number
The class of graphs where the size of a minimum vertex cover equals that of a maximum matching is known as K¨onig-Egerv´ary graphs. K¨onig-Egerv´ary graphs have been studied ex...
Sounaka Mishra, Venkatesh Raman, Saket Saurabh, So...
APPROX
2008
Springer
142views Algorithms» more  APPROX 2008»
13 years 6 months ago
Approximating Maximum Subgraphs without Short Cycles
We study approximation algorithms, integrality gaps, and hardness of approximation, of two problems related to cycles of "small" length k in a given graph. The instance f...
Guy Kortsarz, Michael Langberg, Zeev Nutov
ICDE
2006
IEEE
196views Database» more  ICDE 2006»
14 years 6 months ago
Closure-Tree: An Index Structure for Graph Queries
Graphs have become popular for modeling structured data. As a result, graph queries are becoming common and graph indexing has come to play an essential role in query processing. ...
Huahai He, Ambuj K. Singh