We propose a general model for testing graph properties, which extends and simplifies the bounded degree model of [GR97]. In this model we present a family of algorithms that test whether the diameter of a graph is bounded by a given parameter D, or is ε-far from any graph with diameter at most β (D). The function β (D) ranges between D + 4 and 4D + 2, depending on the algorithm. All our algorithms run in time polynomial in 1/ε.


Boundary Function Testing Algorithm Distance Parameter Graph Property Operation Research Letter 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Michal Parnas
    • 1
  • Dana Ron
    • 2
  1. 1.The Academic College of Tel-Aviv-YaffoTel-AvivIsrael
  2. 2.Department of EE – SystemsTel-Aviv UniversityRamat AvivIsrael

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