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NETWORKS
2006
13 years 7 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 8 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»
14 years 1 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 9 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 8 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