97
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

The h-extra conditional diagnosability of hypercubes under the PMC model and MM* model

&
Pages 141-150 | Received 10 May 2016, Accepted 19 Nov 2016, Published online: 20 Feb 2017

References

  • T. Araki and Y. Shibata, (t, k)-diagnosable system: A generalization of the PMC models, IEEE Trans. Comput. 52(7) (2003), pp. 971–975. doi: 10.1109/TC.2003.1214345
  • G.Y. Chang, (t, k)-Diagnosability for regular networks, IEEE Trans. Comput. 59(9) (2010), pp. 1153–1157. doi: 10.1109/TC.2010.16
  • N.W. Chang and S.Y. Hsieh, Structural properties and conditional diagnosability of star graphs by using the PMC model, IEEE Trans. Parallel Distrib. Syst. 25(11) (2014), pp. 3002–3011. doi: 10.1109/TPDS.2013.290
  • E. Cheng and L. Lipták, Diagnosability of Cayley graphs generated by transposition trees with missing edges, Inf. Sci. 238(7) (2013), pp. 250–252. doi: 10.1016/j.ins.2013.03.009
  • E. Cheng, L. Lipták, K. Qiu, and Z. Shen, On deriving conditional diagnosability of interconnection networks, Inf. Process. Lett. 112(17–18) (2012), pp. 674–677. doi: 10.1016/j.ipl.2012.06.008
  • E. Cheng, L. Lipták, K. Qiu, and Z. Shen, A unified approach to the conditional diagnosability of interconnection networks, J. Interconnection Netw. 13(13) (2013), pp. 1250007.
  • E. Cheng, K. Qiu, and Z. Shen, On the conditional diagnosability of matching composition networks, Theor. Comput. Sci. 557 (2014), pp. 101–114. doi: 10.1016/j.tcs.2014.09.008
  • E. Cheng, K. Qiu, and Z. Shen, On the conditional diagnosability of hyper-butterfly graphs and related networks, Parallel Process. Lett. 26(1) (2016), pp. 1650005. doi: 10.1142/S0129626416500055
  • A.T. Dahbura and G.M. Masson, An 0(n) fault identification algorithm for diagnosable systems, IEEE Trans. Comput. C–33(6) (1984), pp. 486–492. doi: 10.1109/TC.1984.1676472
  • R. Diestel, Graph theory, Oberwolfach Rep. 311(1) (2000), pp. 67–128.
  • E.P. Duarte, R.P. Ziwich, and L.C.P. Albini, A survey of comparison-based system-level diagnosis, ACM Comput. Surv. 43(3) (2011), pp. 194–218. doi: 10.1145/1922649.1922659
  • J. Fàbrega and M.A. Fiol, Extraconnectivity of graphs with large girth, Discrete Math. 127(1–3) (1994), pp. 163–170. doi: 10.1016/0012-365X(92)00475-7
  • J. Fan, Diagnosability of crossed cubes under the comparison diagnosis model, IEEE Trans. Parallel Distrib. Syst. 13(13) (2002), pp. 1099–1104.
  • R.X. Hao, M.M. Gu, and Y.Q. Feng, The pessimistic diagnosabilities of some general regular graphs, Theor. Comput. Sci. 609 (2016), pp. 413–420. doi: 10.1016/j.tcs.2015.10.025
  • W.S. Hong and S.Y. Hsieh, Strong diagnosability and conditional diagnosability of augmented cubes under the comparison diagnosis model, IEEE Trans. Reliab. 61(1) (2012), pp. 140–148. doi: 10.1109/TR.2011.2170105
  • S.Y. Hsieh and C.Y. Kao, The conditional diagnosability of k-ary n-cubes under the comparison diagnosis model, IEEE Trans. Comput. 62(4) (2013), pp. 839–843. doi: 10.1109/TC.2012.18
  • S.Y. Hsieh, C.Y. Tsai, and C.A. Chen, Strong diagnosability and conditional diagnosability of multiprocessor systems and folded hypercubes, IEEE Trans. Comput. 62(7) (2013), pp. 1472–1477. doi: 10.1109/TC.2012.110
  • L.H. Hsu, E. Cheng, L. Lipták, J.J.M. Tan, C.K. Lin, and T.Y. Ho, Component connectivity of the hypercubes, Int. J. Comput. Math. 89(2) (2012), pp. 137–145. doi: 10.1080/00207160.2011.638978
  • G.H. Hsu, C.F. Chiang, L.M. Shih, L.H. Hsu, and J.J.M. Tan, Conditional diagnosability of hypercubes under the comparison diagnosis model, J. Syst. Arch. 55(2) (2009), pp. 140–146. doi: 10.1016/j.sysarc.2008.10.005
  • A. Kavianpour and K.H. Kim, Diagnosabilities of hypercubes under the pessimistic one-step diagnosis strategy, IEEE Trans. Comput. 40(2) (1991), pp. 232–237. doi: 10.1109/12.73595
  • P.L. Lai, J.J.M. Tan, C.P. Chang, and L.H. Hsu, Conditional diagnosability measures for large multiprocessor systems, IEEE Trans. Comput. 54(2) (2005), pp. 165–175. doi: 10.1109/TC.2005.19
  • X. Li, X. Yang, L. He, J. Zhang, and C. Yu, Conditional diagnosability of optical multi-mesh hypercube networks under the comparison diagnosis model, Theor. Comput. Sci. 90(9) (2014), pp. 47–53. doi: 10.1016/j.tcs.2014.02.016
  • C.K. Lin, J.J.M. Tan, L.H. Hsu, E. Cheng, and L. Lipták, Conditional diagnosability of cayley graphs generated by transposition trees under the comparison diagnosis model, J. Interconn. Netw. 9(1) (2008), pp. 83–97. doi: 10.1142/S0219265908002175
  • M. Malek, A Comparison Connection Assignment for Diagnosis of Multiprocessor Systems, Symposium on Computer Architecture DBLP, 1980, pp. 31–36.
  • F.P. Preparata, G. Metze, and R.T. Chien, On the connection assignment problem of diagnosable systems, IEEE Trans. Electron. Comput. EC-16(6) (1967), pp. 848–854. doi: 10.1109/PGEC.1967.264748
  • A. Sengupta and A.T. Dahbura, On self-diagnosable multiprocessor systems: Diagnosis by the comparison approach, IEEE Trans. Comput. 41(11) (1992), pp. 1386–1396. doi: 10.1109/12.177309
  • I.A. Stewart, A general technique to establish the asymptotic conditional diagnosability of interconnection networks, Theor. Comput. Sci. 452(452) (2012), pp. 132–147. doi: 10.1016/j.tcs.2012.05.015
  • D. Wang, Diagnosability of hypercubes and enhanced hypercubes under the comparison diagnosis model, IEEE Trans. Comput. 48(12) (1999), pp. 1369–1374. doi: 10.1109/12.817401
  • L. Xu, L. Lin, S. Zhou, and S.Y. Hsieh, The extra connectivity, extra conditional diagnosability and t/m-diagnosability of arrangement graphs. IEEE Trans. Reliab. doi:doi: 10.1109/TR.2016.2570559.
  • E. Yang, X. Yang, Q. Dong, and J. Li, Conditional diagnosability of hypermeshes under the comparison model, Inf. Process. Lett. 111(4) (2011), pp. 188–193. doi: 10.1016/j.ipl.2010.11.014
  • M.C. Yang, Conditional diagnosability of balanced hypercubes under the PMC model, Inf. Sci. 222(3) (2013), pp. 754–760. doi: 10.1016/j.ins.2012.08.014
  • M.C. Yang, Conditional diagnosability of matching composition networks under the MM model, Inf. Sci. 233(233) (2013), pp. 230–243. doi: 10.1016/j.ins.2013.01.019
  • X. Yang, D.J. Evans, and G.M. Megson, On the maximal connected component of hypercube with faulty vertices, Int. J. Comput. Math. 81(5) (2004), pp. 515–525. doi: 10.1080/00207160410001661726
  • W. Yang, H. Lin, and C. Qin, On the t/k-diagnosability of BC networks, Appl. Math. Comput. 225(12) (2013), pp. 366–371.
  • T.L. Ye and S.Y. Hsieh, A scalable comparison-based diagnosis algorithm for hypercube-like networks, IEEE Trans. Reliab. 62(62) (2013), pp. 789–799. doi: 10.1109/TR.2013.2284743
  • J. Yuan, X. Liu, J. Zhang, X. Ma, A. Liu, and X. Qin, The g-good-neighbor conditional diagnosability of k-ary n-cubes under the PMC model and MM model, IEEE Trans. Parallel Distrib. Syst. 26(4) (2015), pp. 1165–1177. doi: 10.1109/TPDS.2014.2318305
  • S. Zhang and W. Yang, The g-extra conditional diagnosability and sequential t/k-diagnosability of hypercubes, Int. J. Comput. Math. 93(3) (2016), pp. 482–497. doi: 10.1080/00207160.2015.1020796
  • S. Zhao, W. Yang, and S. Zhang, Component connectivity of hypercubes, Theor. Comput. Sci. 640 (2016), pp. 115–118. doi: 10.1016/j.tcs.2016.05.035
  • Q. Zhu, G. Guo, W. Tang, and C.Q. Zhang, A diagnosis algorithm by using graph-coloring under the PMC model, J. Combin. Optim. 32(3) (2016), pp. 960–969. doi: 10.1007/s10878-015-9923-5
  • Q. Zhu, S.Y. Liu, and J.M. Xu, On conditional diagnosability of the folded hypercubes, Inf. Sci. 178(4) (2008), pp. 1069–1077. doi: 10.1016/j.ins.2007.09.005
  • Q. Zhu, F. Ma, G. Guo, D. Wang, and W. Chen, A new approach of the reliability analysis of interconnection networks with application to hypercubes. arXiv:1607.07761.
  • Q. Zhu and J.M. Xu, On restricted edge connectivity and extra edge connectivity of hypercubes and folded hypercubes, J. Univ. Sci. Technol. China 3(3) (2006), pp. 249–253.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.