点故障增广立方体中2条点不交覆盖路

2023-11-14 08:18:42佘卫强
高师理科学刊 2023年10期
关键词:立方体漳州福建

佘卫强

点故障增广立方体中2条点不交覆盖路

佘卫强

(漳州职业技术学院 通识教育学院,福建 漳州 363000)

增广立方体;点容错;点不交路;网络拓扑

1 引言及预备知识

2 主要结果及证明

证明采用数学归纳法对定理加以证明.

3 结语

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[3]Lai Chengnan.An efficient construction of one-to-many node-disjoint paths in folded hypercubes[J].J Parallel Distrib Comput,2014,74:2310-2316.

[4]Chen X B.Many-to-many disjoint paths in faulty hypercubes[J].Inform Sci,2009,179(18):3110-3115.

[5]Chen C C,Chen J.Nearly optimal one-to-many parallel routing in star networks[J].IEEE TransParallel Distrib Syst,1997,8 (12):1196-1202.

[6]Dietzfelbinger M S,Madhavapeddy S,Sudborough I H.Three disjoint path paradigms in star networks[J].Proceedings of the Third IEEE Symposium on Parallel and Distributed Processing,1991,31(2):400-406.

[8]佘卫强.增广立方体中的一对三条点不交路[J].大学数学,2018,34(6):15-18.

[10]Liu Hongmei,Tang Maozeng.Fault-Tolerant Cycles Embedding in Folde Hypercubes[J].Wuhan University Journal of Natural Sciences,2016,21(3):191-198.

[12]Bondy J A,Murty U S R.Graph Theorywith Applications[M].New York:Macmillan Press,1976.

[17]Wang W Q,Chen X B.A faulty free Hamilton cycle passing through prescribed edges in Hypercubes with faulty edges[J].Inform Process Lett,2007,107(2):211- 215.

Two vertex-disjoint covering paths in augmented cube with faulty vertices

SHE Weiqiang

(School of General Education,Zhangzhou Institute of Technology,Zhangzhou 363000,China)

augmented cube;vertex-fault-tolerant;vertex-disjoint path;network topology

1007-9831(2023)10-0001-04

O157.6

A

10.3969/j.issn.1007-9831.2023.10.001

2022-11-04

国家自然科学基金项目(61603174);福建省自然科学基金项目(2020J01793)

佘卫强(1981-),男,福建东山人,副教授,硕士,从事组合网络理论研究.E-mail:swq238@163.com

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