Efficient Computation of Balanced Structures

  • David G. Harris
  • Ehab Morsy
  • Gopal Pandurangan
  • Peter Robinson
  • Aravind Srinivasan
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7966)

Abstract

Basic graph structures such as maximal independent sets (MIS’s) have spurred much theoretical research in distributed algorithms, and have several applications in networking and distributed computing as well. However, the extant (distributed) algorithms for these problems do not necessarily guarantee fault-tolerance or load-balance properties: For example, in a star-graph, the central vertex, as well as the set of leaves, are both MIS’s, with the latter being much more fault-tolerant and balanced — existing distributed algorithms do not handle this distinction. We propose and study “low-average degree” or “balanced” versions of such structures. Interestingly, in sharp contrast to, say, MIS’s, it can be shown that checking whether a structure is balanced, will take substantial time. Nevertheless, we are able to develop good sequential and distributed algorithms for such “balanced” versions. We also complement our algorithms with several lower bounds.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • David G. Harris
    • 1
  • Ehab Morsy
    • 2
    • 3
  • Gopal Pandurangan
    • 2
    • 4
  • Peter Robinson
    • 2
  • Aravind Srinivasan
    • 5
  1. 1.Department of Applied MathematicsUniversity of MarylandCollege ParkUSA
  2. 2.Division of Mathematical SciencesNanyang Technological UniversitySingapore
  3. 3.Department of MathematicsSuez Canal UniversityIsmailiaEgypt
  4. 4.Department of Computer ScienceBrown UniversityProvidenceUSA
  5. 5.Department of Computer Science and Institute for Advanced Computer StudiesUniversity of MarylandCollege ParkUSA

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