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Fault-tolerant path embedding in folded hypercubes with both node and edge faults

โœ Scribed by Kuo, Che-Nan; Chou, Hsin-Hung; Chang, Nai-Wen; Hsieh, Sun-Yuan


Book ID
122835888
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
619 KB
Volume
475
Category
Article
ISSN
0304-3975

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Fault-tolerant cycles embedded in hyperc
โœ Chang-Hsiung Tsai ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 282 KB

Let f e (respectively, f v ) denote the number of faulty edges (respectively, vertices) of an n-dimensional hypercube Q n . In this paper, we prove that every fault-free edge of Q n for n โ‰ฅ 3 lies on a fault-free cycle of every even length from 4 to 2 n -2 f v inclusive if f e + f v โ‰ค n -2. Furtherm