The shuffle-cubes and their generalization
نویسندگان
چکیده
In this paper, we first present a new variation of hypercubes, denoted by SQn. SQn is obtained from Qn by changing some links. SQn is also an n-regular n-connected graph but of diameter about n/4. Then, we present a generalization of SQn. For any positive integer g, we can construct an n-dimensional generalized shuffle-cube with 2n vertices which is n-regular and n-connected. However its diameter can be about n/g if we consider g as a constant. 2001 Elsevier Science B.V. All rights reserved.
منابع مشابه
The super connectivity of shuffle-cubes
The shuffle-cube SQn, 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 SQn is 2n − 4 and the super edge-connectivity is 2n− 2 for n 6. 2005 Elsevier B.V...
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ورودعنوان ژورنال:
- Inf. Process. Lett.
دوره 77 شماره
صفحات -
تاریخ انتشار 2001