Connected Dominating Set and its Induced Position-less Sparse Spanner For Mobile Ad Hoc Networks

  • Authors:
  • Khaled M. Alzoubi

  • Affiliations:
  • -

  • Venue:
  • ISCC '03 Proceedings of the Eighth IEEE International Symposium on Computers and Communications
  • Year:
  • 2003

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Abstract

A set S is a dominating set (DS) if each node in the graphis either in S or a neighbor to at least one of the nodes in S.A connected dominating set (CDS) is a DS that induces aconnected subgraph. A t-spanner of a graph G = (V,E) isa spanning subgraph G' = (V, E'), such that the shortest-hoppath between any two nodes in G', is at most t timestheir shortest path in G. A sparse spanner (spanner withlinear edges) is of fundamental importance to distributednetworking operations.In this paper, we present a new algorithm for constructingand maintaining a CDS-Based sparse spanner for mobilead hoc networks without using geographic positions.This CDS has a constant approximation factor. Consequently,the number of nodes responsible for routing is alsowithin a constant factor of the minimum. Our distributed algorithmruns in linear time and uses linear messages. Furthermore,the spanner has a constant topological and geometricdilation.