t/t-Diagnosability of regular graphs under the PMC model

  • Authors:
  • Chun-An Chen;Sun-Yuan Hsieh

  • Affiliations:
  • National Cheng Kung University, Taiwan;National Cheng Kung University, Taiwan

  • Venue:
  • ACM Transactions on Design Automation of Electronic Systems (TODAES)
  • Year:
  • 2013

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Abstract

A system is t/t-diagnosable if, given any collection of test results, the faulty nodes can be isolated to within a set of at most t nodes provided that the number of faulty nodes does not exceed t. Given an N-vertex graph G that is regular with the common degree d and has no cycle of three or four vertices, this study shows that G is (2d − 2)/(2d − 2)-diagnosable if N ≥ 4d − 30 0. Based on this result, the t/t-diagnosabilities of several classes of graphs can be computed efficiently.