On g-good-neighbor conditional diagnosability of (n, k)-star networks

被引:18
|
作者
Wei, Yulong [1 ]
Xu, Min [1 ]
机构
[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
基金
中国国家自然科学基金;
关键词
PMC model; MM* model; (n; k)-Star networks; Fault diagnosability; MATCHING COMPOSITION NETWORKS; COMPARISON DIAGNOSIS MODEL; MM-ASTERISK MODEL; PMC MODEL; INTERCONNECTION NETWORKS; MULTIPROCESSOR SYSTEMS; FAULT-TOLERANCE; STAR GRAPHS; HYPERCUBES;
D O I
10.1016/j.tcs.2017.07.031
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The g-good-neighbor conditional diagnosability is a new measure for fault diagnosis of systems. Xu et al. (2017) [27] determined the g-good-neighbor conditional diagnosability of (n, k)-star networks S-n,S-k (i.e., t(g)(S-n,S-k)) with 1 <= k <= n-1 for 1 <= g <= n -k under the PMC model and the MM* model. In this paper, we determine t(g)(S-n,S-k) for all the remaining cases with 1 <= k <= n-1 for 1 <= g <= n-1 under the two models, from which we can obtain the g-good-neighbor conditional diagnosability of the star graph obtained by Li et al. (2017) [16] for 1 <= g <= n- 2. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:79 / 90
页数:12
相关论文
共 50 条
  • [21] The g-good-neighbor diagnosability of triangle-free graphs
    Sardroud, Asghar A. Asgharian
    Ghasemi, Mohsen
    JOURNAL OF SUPERCOMPUTING, 2023, 79 (07) : 7272 - 7285
  • [22] The g-good-neighbor diagnosability of locally twisted cubes
    Ren, Yunxia
    Wang, Shiying
    THEORETICAL COMPUTER SCIENCE, 2017, 697 : 91 - 97
  • [23] Equal relation between g-good-neighbor diagnosability under the PMC model and g-good-neighbor diagnosability under the MM* model of a graph
    Hu, Xiaomin
    Yang, Weihua
    Tian, Yingzhi
    Meng, Jixiang
    DISCRETE APPLIED MATHEMATICS, 2019, 262 : 96 - 103
  • [24] The g-Good-Neighbor Conditional Diagnosabilities of Hypermesh Optical Interconnection Networks Under the PMC and Comparison Models
    Li, Xianyong
    Huang, Jiaming
    Du, Yajun
    Fan, Yongquan
    Chen, Xiaoliang
    INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE, 2024, 35 (03) : 313 - 325
  • [25] The g-extra conditional diagnosability and sequential t/k-diagnosability of hypercubes
    Zhang, Shurong
    Yang, Weihua
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2016, 93 (03) : 482 - 497
  • [26] The g-good-neighbor diagnosability of triangle-free graphs
    Asghar A. Asgharian Sardroud
    Mohsen Ghasemi
    The Journal of Supercomputing, 2023, 79 : 7272 - 7285
  • [27] G-good-neighbor diagnosability under the modified comparison model for multiprocessor systems
    Wang, Mu-Jiang-Shan
    Xiang, Dong
    Hsieh, Sun-Yuan
    THEORETICAL COMPUTER SCIENCE, 2025, 1028
  • [28] The G-Good-Neighbor Local Diagnosability of a Hypercube Network Under the PMC Model
    Yin, Wen
    Liang, Jiarong
    IEEE ACCESS, 2020, 8 (08): : 33998 - 34007
  • [29] The 2-good-neighbor connectivity and 2-good-neighbor diagnosability of bubble-sort star graph networks
    Wang, Shiying
    Wang, Zhenhua
    Wang, Mujiangshan
    DISCRETE APPLIED MATHEMATICS, 2017, 217 : 691 - 706
  • [30] Conditional Diagnosability of (n, k)-Star Networks Under the Comparison Diagnosis Model
    Chang, Nai-Wen
    Deng, Wei-Hao
    Hsieh, Sun-Yuan
    IEEE TRANSACTIONS ON RELIABILITY, 2015, 64 (01) : 132 - 143