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INFOCOM
2010
IEEE

Maintaining Approximate Minimum Steiner Tree and k-center for Mobile Agents in a Sensor Network

8 years 5 months ago
Maintaining Approximate Minimum Steiner Tree and k-center for Mobile Agents in a Sensor Network
Abstract--We study the problem of maintaining group communication between m mobile agents, tracked and helped by n static networked sensors. We develop algorithms to maintain a O(lg n)-approximation to the minimum Steiner tree of the mobile agents such that the maintenance message cost is on average O(lg n) per each hop an agent moves. The key idea is to extract a `hierarchical well-separated tree (HST)' on the sensor nodes such that the tree distance approximates the sensor network hop distance by a factor of O(lg n). We then prove that maintaining the subtree of the mobile agents on the HST uses logarithmic messages per hop movement. With the HST we can also maintain O(lg n) approximate k-center for the mobile agents with the same message cost. Both the minimum Steiner tree and the k-center problems are NP-hard and our algorithms are the first efficient algorithms for maintaining approximate solutions in a distributed setting.
Dengpan Zhou, Jie Gao
Added 13 Feb 2011
Updated 13 Feb 2011
Type Journal
Year 2010
Where INFOCOM
Authors Dengpan Zhou, Jie Gao
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