Fault diagnosability of (K4 - e)-free multiprocessor systems under the PMC and HPMC model

被引:0
作者
Xu, Liqiong [1 ]
Yu, Lin [1 ]
Zhou, Shuming [2 ]
Lin, Cheng-Kuan [3 ]
机构
[1] Jimei Univ, Sch Sci, Xiamen 361021, Fujian, Peoples R China
[2] Fujian Normal Univ, Sch Math & Stat, Fuzhou, Peoples R China
[3] Natl Yang Ming Chiao Tung Univ, Dept Comp Sci, Hsinchu, Taiwan
基金
中国国家自然科学基金;
关键词
Fault diagnosis; PMC model; HPMC model; t-diagnosability; h-restricted vertex diagnosability; r-restricted edge diagnosability; CONDITIONAL DIAGNOSABILITY; DIAGNOSIS; CONNECTIVITY; RELIABILITY; HYPERCUBE; GRAPHS;
D O I
10.1080/17445760.2024.2417874
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Faulty diagnosability of multiprocessor systems is one of the important evaluating index in the design and maintenance of multiprocessor systems. To address the fault diagnosis problem in processor fault or hybrid fault circumstances the Preparata, Metze and Chien (PMC) model and the hybrid PMC (HPMC) model have been proposed. In this paper, we discuss the t-diagnosability of (K4 - e)-free multiprocessor systems under the PMC model, the h-restricted vertex diagnosability and the r-restricted edge diagnosability under the HPMC model. Furthermore, we determine the h-restricted vertex diagnosability and the r-restricted edge diagnosability of somewell-known networks under the HPMC model.
引用
收藏
页码:653 / 668
页数:16
相关论文
共 31 条
[1]  
Bondy A., 2008, Graph Theory, DOI [DOI 10.1007/978-1-84628-970-5, 10.1007/978-1-84628-970-5]
[2]   LEE DISTANCE AND TOPOLOGICAL PROPERTIES OF K-ARY N-CUBES [J].
BOSE, B ;
BROEG, B ;
KWON, Y ;
ASHIR, Y .
IEEE TRANSACTIONS ON COMPUTERS, 1995, 44 (08) :1021-1030
[3]   The super connectivity of folded crossed cubes [J].
Cai, Xuepeng ;
Vumar, Elkin .
INFORMATION PROCESSING LETTERS, 2019, 142 :52-56
[4]   Diagnosabilities of regular networks [J].
Chang, GY ;
Chang, GJ ;
Chen, GH .
IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS, 2005, 16 (04) :314-323
[5]   Structural Properties and Conditional Diagnosability of Star Graphs by Using the PMC Model [J].
Chang, Nai-Wen ;
Hsieh, Sun-Yuan .
IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS, 2014, 25 (11) :3002-3011
[6]   A note on the alternating group network [J].
Cheng, Eddie ;
Qiu, Ke ;
Shen, Zhizhang .
JOURNAL OF SUPERCOMPUTING, 2012, 59 (01) :246-248
[7]   THE (N,K)-STAR GRAPH - A GENERALIZED STAR GRAPH [J].
CHIANG, WK ;
CHEN, RJ .
INFORMATION PROCESSING LETTERS, 1995, 56 (05) :259-264
[8]  
DAHBURA AT, 1984, IEEE T COMPUT, V33, P486, DOI 10.1109/TC.1984.1676472
[9]   GENERALIZED MEASURES OF FAULT TOLERANCE WITH APPLICATION TO N-CUBE NETWORKS [J].
ESFAHANIAN, AH .
IEEE TRANSACTIONS ON COMPUTERS, 1989, 38 (11) :1586-1591
[10]   Conditional diagnosability measures for large multiprocessor systems [J].
Lai, PL ;
Tan, JJM ;
Chang, CP ;
Hsu, LH .
IEEE TRANSACTIONS ON COMPUTERS, 2005, 54 (02) :165-175