Embedding fault-free cycles in crossed cubes with
β Scribed by Jung-Sheng Fu; Hao-Shun Hung; Gen-Huey Chen
- Publisher
- Springer US
- Year
- 2008
- Tongue
- English
- Weight
- 423 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0920-8542
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Almost all the previous fault-tolerant cycle embedding research could not tolerate the faulty nodes more than the degree of the network. In this paper, we have broken this limitation: a recursive method of embedding a longest cycle into an n-dimensional hypercube (n-cube), which can tolerate atmost
## Abstract A hierarchical cubic network was proposed as an alternative to the hypercube. By HCN(__n__), we denote the hierarchical cubic network that contains 2^__n__^ __n__βdimensional hypercubes. In this paper, using Gray codes, we construct faultβfree Hamiltonian cycles in an HCN(__n__) with __