Sciweavers

MP
2007

Power optimization for connectivity problems

13 years 11 months ago
Power optimization for connectivity problems
Given a 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 the nodes of this graph. Motivated by applications in wireless multi-hop networks, we consider four fundamental problems under the power minimization criteria: the Min-Power b-Edge-Cover problem (MPb-EC) where the goal is to find a min-power subgraph so that the degree of every node v is at least some given integer b(v), the MinPower k-node Connected Spanning Subgraph problem (MPk-CSS), MinPower k-edge Connected Spanning Subgraph problem (MPk-ECSS), and finally the Min-Power k-Edge-Disjoint Paths problem in directed graphs (MPk-EDP). We give an O(log4 n)-approximation algorithm for MPb-EC. This gives an O(log4 n)-approximation algorithm for MPk-CSS for most values of k, improving the best previously known O(k)-approximation guarantee. In contrast, we obtain an O( √ n) approximation algorithm for MPk-ECSS, and for its variant in...
Mohammad Taghi Hajiaghayi, Guy Kortsarz, Vahab S.
Added 27 Dec 2010
Updated 27 Dec 2010
Type Journal
Year 2007
Where MP
Authors Mohammad Taghi Hajiaghayi, Guy Kortsarz, Vahab S. Mirrokni, Zeev Nutov
Comments (0)