Biconnectivity approximations and graph carvings
Journal of the ACM (JACM)
Connectivity and network flows
Handbook of combinatorics (vol. 1)
Approximation algorithms for finding highly connected subgraphs
Approximation algorithms for NP-hard problems
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Combinatorial optimization
A representation for crossing set families with applications to submodular flow problems
SODA '93 Proceedings of the fourth annual ACM-SIAM Symposium on Discrete algorithms
Power optimization in fault-tolerant topology control algorithms for wireless multi-hop networks
Proceedings of the 9th annual international conference on Mobile computing and networking
Approximating k-node Connected Subgraphs via Critical Graphs
SIAM Journal on Computing
Energy-Efficient Wireless Network Design
Theory of Computing Systems
Power optimization for connectivity problems
Mathematical Programming: Series A and B
Approximating minimum power covers of intersecting families and directed connectivity problems
APPROX'06/RANDOM'06 Proceedings of the 9th international conference on Approximation Algorithms for Combinatorial Optimization Problems, and 10th international conference on Randomization and Computation
Approximating Minimum-Power k-Connectivity
ADHOC-NOW '08 Proceedings of the 7th international conference on Ad-hoc, Mobile and Wireless Networks
Approximating minimum-power edge-covers and 2,3-connectivity
Discrete Applied Mathematics
Approximating minimum-power degree and connectivity problems
LATIN'08 Proceedings of the 8th Latin American conference on Theoretical informatics
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Given a (directed or undirected) graph with costs on the edges, the power of a node is the maximum cost of an edge leaving it, and the power of the graph is the sum of the powers of its nodes. Motivated by applications for wireless networks, we present improved approximation algorithms and inapproximability results for some classic network design problems under the power minimization criteria. In particular, we give a logarithmic approximation algorithm for the problem of finding a minpower subgraph that contains k internally-disjoint paths from a given node s to every other node, and show that several other problems are unlikely to admit a polylogarithmic approximation.