The super connectivity of shuffle-cubes

被引:30
作者
Xu, JM [1 ]
Xu, M
Zhu, Q
机构
[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
[3] Xidian Univ, Dept Math, Xian 710000, Shanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
combinatorial problems; shuffle-cubes; super connectivity; super edge-connectivity; hypercubes;
D O I
10.1016/j.ipl.2005.07.005
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The shuffle-cube SQ(n) where n 2 (mod 4), a new variation of hypercubes proposed by Li et al. [T.-K. Li, J.J.M. Tan, L.-H. Hsu, T.-Y. Sung, The shuffle-cubes and their generalization, Inform. Process. Lett. 77 (2001) 35-41], is an n-regular n-connected graph. This paper determines that the super connectivity of SQ(n) is 2n - 4 and the super edge-connectivity is 2n - 2 for n >= 6. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:123 / 127
页数:5
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