新疆大学数学与系统科学学院
纸质出版:2023
移动端阅览
[1]孙亚莉,张明祖.基于h-extra边连通度的增强超立方体Q_(n,3)的链路容错性分析(英文)[J].新疆大学学报(自然科学版)(中英文),2023,40(06):646-653.
[1]孙亚莉,张明祖.基于h-extra边连通度的增强超立方体Q_(n,3)的链路容错性分析(英文)[J].新疆大学学报(自然科学版)(中英文),2023,40(06):646-653. DOI: 10.13568/j.cnki.651094.651316.2023.02.12.0001.
DOI:10.13568/j.cnki.651094.651316.2023.02.12.0001.
并行处理系统的设计和维护在很大程度上依赖于并行处理系统的可靠性评价.h-extra边连通度为评估这些系统在大规模故障链路下的互连网络的容错性和可靠性提供了一个更精确的参数.1991年Tzeng和Wei提出了(n
3)-增强超立方体Qn
3.研究了(n
3)-增强超立方体Qn
3的h-extra边连通度
λh(Qn
3)
存在一个集中现象.对于整数「(11×2n-1)/48」≤h≤2n-1和n≥9
λh(Qn
3)的精确值集中在2n-1上.
Design and maintenance of parallel processing systems depend greatly on reliability measures for parallel processing systems.The h-extra edge-connectivity provides a more accurate parameter for assessing the fault tolerance and reliability of interconnection networks of these systems under widespread defective links.The (n
3)-enhanced hypercube Qn
3 was proposed by Tzeng and Wei in 1991.We investigate the h-extra edge-connectivity of (n
3)-enhanced hypercube Qn
3
λh(Qn
3) behave a concentration phenomenon.And for an integer 「(11×2n-1)/48」≤h≤2n-1 and n≥9
the exact value of λh(Qn
3) concentrates on the 2n-1.
LI H, YANG W H. Bounding the size of the subgraph induced by m vertices and extra edge-connectivity of hypercubes[J]. Discrete Applied Mathematics, 2013, 161(16/17):2753-2757.
EI-AMAWY A, LATIFI S. Properties and performance of folded hypercubes[J]. IEEE Transactions on Parallel and Distributed Systems, 1991, 2(1):31-42.
ZHU Q, XU J M. On restricted edge connectivity and extra edge connectivity of hypercubes and folded hypercubes[J]. Journal of University of Science and Technology China, 2006, 36:246-253.
CHEN Y C, TAN J M, HSU L H, et al. Super-connectivity and super edge-connectivity for some interconnection networks[J]. Applied Mathematics and Computation, 2003, 140(2/3):245-254.
ZHU H Z, MENG J X. Cyclic edge-connectivity and cyclic arc-connectivity of graphs[J]. Journal of Xinjiang University(Natural Science Edition in Chinese and English), 2021, 38(6):655-664.
HARARY F. Conditional connectivity[J]. Networks, 1983, 13(3):347-357.
F`ABREGA J, FIOL M A. On the extraconnectivity of graphs[J]. Discrete Mathematics, 1996, 155(1):49-57.
ZHANG M Z, MENG J X, TIAN Y Z. On reliability of hypercubes in terms of extra edge-connectivity[J]. Journal of Xinjiang University(Natural Science Edition), 2013, 30(3):253-256+268.
CHANG N W, TSAI C Y, HSIEH S Y. On 3-extra connectivity and 3-extra edge connectivity of folded hypercubes[J]. IEEE Transactions on Computers,2014, 63(6):1593-1599.
YANG W H, LI H. On reliability of the folded hypercubes in terms of the extra edge-connectivity[J]. Information Sciences, 2014, 272:238-243.
ZHANG M Z, ZHANG L Z, FENG X. Reliability measures in relation to the h-extra edge-connectivity of folded hypercubes[J]. Theoretical Computer Science, 2016, 615:71-77.
ZHANG M Z, ZHANG L Z, FENG X, et al. An O(log2(N))algorithm for reliability evaluation of h-extra edge-connectivity of folded hypercubes[J].IEEE Transactions on Reliabiity, 2018, 67(1):297-307.
ZHU Q, XU J M, HOU X M, et al. On reliability of the folded hypercubes[J]. Information Sciences, 2007, 177(8):1782-1788.
YANG W H, LIN H Q. Reliability evaluation of BC networks in terms of the extra vertex-and edge-connectivity[J]. IEEE Transactions on Computers,2014, 63(10):2540-2548.
ZHANG M Z, MENG J X, YANG W H, et al. Reliability analysis of bijective connection networks in terms of the extra edge-connectivity[J].Information Sciences, 2014, 279:374-382.
TZENG N F, WEI S Z. Enhanced hypercubes[J]. IEEE Transactions on Computers, 1991, 40:284-294.
SABIR E, MAMUT A, VUMAR E. The extra connectivity of the enhanced hypercubes[J]. Theoretical Computer Science, 2019, 799:22-31.
XU L Q, ZHOU S M, LIU J F, et al. Reliability measure of multiprocessor system based on enhanced hypercubes[J]. Discrete Applted Mathematics,2021, 289:125-138.
LI J, HUANG Y Z, LIN L M, et al. The extra connectivity of enhanced hypercubes[J]. International Journal of Parallel, Emergent and Distributed Systems, 2020, 35(1):91-102.
YIN S S, XU L Q. On the g-extra connectivity of the enhanced hypercubes[J]. The Computer Journal, 2022, 65(9):2339-2346.
YANG W H, MENG J X. Extraconnectivity of folded hypercubes[J]. ARS Combinatoria, 2014, 116:121-127.
ZHOU J X. On g-extra connectivity of hypercube-like networks[J]. Journal of Computer and System Sciences, 2017, 88:208-219.
SULLIVAN H, BASHKOW T R. A large scale, homogeneous, fully distributed parallel machine[J]. Computer Architecture News, 1977, 5(7):105-117.
HARPER L H. Optimal assignments of numbers to vertices[J]. Journal of the Society for Industrial and Applied Mathematics, 1964, 12(1):131-135.
AROCKIARAJ M, LIU J B, SHALINI A J. Vertex decomposition method for wirelength problem and its applications to enhanced hypercube networks[J]. IET Computers and Digital Techniques, 2019, 13(2):87-92.
0
浏览量
85
下载量
0
CSCD
关联资源
相关文章
相关作者
相关机构
京公网安备11010802024621
