Constructing minimum energy mobile wireless networks

  • Authors:
  • Xiang-Yang Li;Peng-Jun Wan

  • Affiliations:
  • Department of Computer Science, Illinois Institute of Technogy, Chicago, IL;Department of Computer Science, Illinois Institute of Technogy, Chicago, IL

  • Venue:
  • MobiHoc '01 Proceedings of the 2nd ACM international symposium on Mobile ad hoc networking & computing
  • Year:
  • 2001

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Abstract

Given a set of wireless network nodes N, the directed weighted transmission graph Gt has an edge uv if and only if node v is in the transmission range of node u and the weight of uv is typically defined as |uv| &agr; + c for a real constant 2 ≤ &gr;≤4 and c & 0. The minimum power topology Gm is the smallest subgraph of Gt that contains the shortest paths between all pairs of nodes. We described a distributed position-based networking protocol to construct the enclosure graph Ge, which is an approximation of Gm. The total communication complexity is O(n). Let dG(u) be the degree of node u in a graph G. The time complexity of each node u is O (dGt)). The space required at each node is O(dGt (u. This improves the previous result that approximates GmO(dGt(u)3) time using O(dGt(u2) spaces. We also show that the average degree dGe (u) is usually a constant, which is at most 6. Our result is first developed for stationary network and then extended to mobile network.