K-Fault Resistance in Wireless Ad-Hoc Networks

Hanan Shpungin, Michael Segal

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

9 Scopus citations


Given a wireless network, we want to assign each node a transmission power, which will enable transmission between any two nodes (via other nodes). Moreover, due to possible faults, we want to have at least k vertex-disjoint paths from any node to any other, where k is some fixed integer, depending on the reliability of the nodes. The goal is to achieve this directed k-connectivity with a minimal overall power assignment. The problem is NP-Hard for any k ≥ 1 already for planar networks. Here we first present an optimal power assignment for uniformly spaced nodes on a line for any k ≥ 1. Based on it, we design an approximation algorithm for linear radio networks with factor min{2, (Δ/δ)α}, where Δ and δ are the maximal and minimal distances between adjacent nodes respectively and parameter α ≥ 1 being the distance-power gradient. We then extend it to the weighted version. Finally, we develop an approximation algorithm with factor O(k2), for planar case, which is, to the best of our knowledge, the first non-trivial result for this problem.

Original languageEnglish
Title of host publicationProceedings of the 2005 Joint Workshop on Foundations of Mobile Computing, Co-located with ACM/SIGMOBILE MobiCom 2005
Subtitle of host publicationDIALM-POMC 2005
Number of pages8
StatePublished - 2 Sep 2005


  • Ad hoc networks
  • Connectivity

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Software


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