The steiner problem with edge lengths 1 and 2,
Information Processing Letters
Minimum-weight two-connected spanning networks
Mathematical Programming: Series A and B
On the structure of minimum-weight k-connected spanning networks
SIAM Journal on Discrete Mathematics
Survivable networks, linear programming relaxations and the parsimonious property
Mathematical Programming: Series A and B
When Trees Collide: An Approximation Algorithm for theGeneralized Steiner Problem on Networks
SIAM Journal on Computing
A General Approximation Technique for Constrained Forest Problems
SIAM Journal on Computing
Improved approximation algorithms for uniform connectivity problems
Journal of Algorithms
Approximation algorithms for finding highly connected subgraphs
Approximation algorithms for NP-hard problems
Polynomial time approximation schemes for Euclidean traveling salesman and other geometric problems
Journal of the ACM (JACM)
Improved approximation algorithms for network design problems
SODA '94 Proceedings of the fifth annual ACM-SIAM symposium on Discrete algorithms
On approximability of the minimum-cost k-connected spanning subgraph problem
Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms
Approximation algorithms
Approximation algorithms for minimum-cost k-vertex connected subgraphs
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
When Hamming Meets Euclid: The Approximability of Geometric TSP and Steiner Tree
SIAM Journal on Computing
Polynomial-Time Approximation Schemes for the Euclidean Survivable Network Design Problem
ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
A Factor 2 Approximation Algorithm for the Generalized Steiner Network Problem
FOCS '98 Proceedings of the 39th Annual Symposium on Foundations of Computer Science
Hardness of Approximation for Vertex-Connectivity Network Design Problems
SIAM Journal on Computing
Approximation algorithm for k-node connected subgraphs via critical graphs
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
Tight approximation algorithm for connectivity augmentation problems
Journal of Computer and System Sciences
A Constant Factor Approximation for Minimum λ-Edge-Connected k-Subgraph with Metric Costs
APPROX '08 / RANDOM '08 Proceedings of the 11th international workshop, APPROX 2008, and 12th international workshop, RANDOM 2008 on Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques
An almost O(log k)-approximation for k-connected subgraphs
SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
Online and stochastic survivable network design
Proceedings of the forty-first annual ACM symposium on Theory of computing
Approximating Node-Connectivity Augmentation Problems
APPROX '09 / RANDOM '09 Proceedings of the 12th International Workshop and 13th International Workshop on Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
Tree embeddings for two-edge-connected network design
SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
Tight approximation algorithm for connectivity augmentation problems
ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part I
Hi-index | 0.00 |
We study undirected networks with edge costs that satisfy the triangle inequality. Let n denote the number of nodes. We present an O(1)-approximation algorithm for a generalization of the metric-cost subset k-node-connectivity problem. Our approximation guarantee is proved via lower bounds that apply to the simple edge-connectivity version of the problem, where the requirements are for edge-disjoint paths rather than for openly node-disjoint paths. A corollary is that, for metric costs and for each k=1,2,…,n-1, there exists a k-node connected graph whose cost is within a factor of 24 of the cost of any simple k-edge connected graph. This resolves an open question in the area. Based on our O(1)-approximation algorithm, we present an O(log rmax)-approximation algorithm for the node-connectivity survivable network design problem where rmax denotes the maximum requirement over all pairs of nodes. Our results contrast with the case of edge costs of zero or one, where Kortsarz et al. [20]recently proved, assuming NP⊈, quasi-P, a hardness-of-approximation lower bound of 2log 1-εn for the subset k-node-connectivity problem, where ε denotes a small positive number.