Volume 32, Issue 2
Diagnosability of Cayley Graph Networks Generated by Transposition Trees Under the Comparison Diagnosis Model

Mujiangshan Wang & Shiying Wang

Ann. Appl. Math., 32 (2016), pp. 166-173.

Published online: 2022-06

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  • Abstract

Diagnosability of a multiprocessor system is one important study topic. Cayley graph network $Cay(T_n, S_n)$ generated by transposition trees $T_n$ is one of the attractive underlying topologies for the multiprocessor system. In this paper, it is proved that diagnosability of $Cay(T_n, S_n)$ is $n − 1$ under the comparison diagnosis model for $n ≥ 4.$

  • AMS Subject Headings

05C25

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COPYRIGHT: © Global Science Press

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@Article{AAM-32-166, author = {Wang , Mujiangshan and Wang , Shiying}, title = {Diagnosability of Cayley Graph Networks Generated by Transposition Trees Under the Comparison Diagnosis Model}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {32}, number = {2}, pages = {166--173}, abstract = {

Diagnosability of a multiprocessor system is one important study topic. Cayley graph network $Cay(T_n, S_n)$ generated by transposition trees $T_n$ is one of the attractive underlying topologies for the multiprocessor system. In this paper, it is proved that diagnosability of $Cay(T_n, S_n)$ is $n − 1$ under the comparison diagnosis model for $n ≥ 4.$

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20635.html} }
TY - JOUR T1 - Diagnosability of Cayley Graph Networks Generated by Transposition Trees Under the Comparison Diagnosis Model AU - Wang , Mujiangshan AU - Wang , Shiying JO - Annals of Applied Mathematics VL - 2 SP - 166 EP - 173 PY - 2022 DA - 2022/06 SN - 32 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20635.html KW - interconnection network, graph, diagnosability, comparison diagnosis model, Cayley graph. AB -

Diagnosability of a multiprocessor system is one important study topic. Cayley graph network $Cay(T_n, S_n)$ generated by transposition trees $T_n$ is one of the attractive underlying topologies for the multiprocessor system. In this paper, it is proved that diagnosability of $Cay(T_n, S_n)$ is $n − 1$ under the comparison diagnosis model for $n ≥ 4.$

Wang , Mujiangshan and Wang , Shiying. (2022). Diagnosability of Cayley Graph Networks Generated by Transposition Trees Under the Comparison Diagnosis Model. Annals of Applied Mathematics. 32 (2). 166-173. doi:
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