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  • 标题:The Tightly Super 3-Extra Connectivity and Diagnosability of Locally Twisted Cubes
  • 本地全文:下载
  • 作者:Mujiangshan Wang ; Yunxia Ren ; Yuqing Lin
  • 期刊名称:American Journal of Computational Mathematics
  • 印刷版ISSN:2161-1203
  • 电子版ISSN:2161-1211
  • 出版年度:2017
  • 卷号:07
  • 期号:02
  • 页码:127-144
  • DOI:10.4236/ajcm.2017.72011
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:Diagnosability of a multiprocessor system G is one important measure of the reliability of interconnection networks. In 2016, Zhang et al . proposed the g - extra diagnosability of G , which restrains that every component of G – S has at least (g + 1) vertices. The locally twisted cube LTQn is applie d widely. In this paper, we show that LTQn is tightly (4n – 9) super 3-extra connected for n ≥ 6 and the 3-extra diagnosability of LTQn under the PMC model and MM * model is 4n - 6 for n ≥ 5 and n ≥ 7 , respectively.
  • 关键词:Interconnection Network;Combinatorics;Diagnosability
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