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Embedding hamiltonian paths in -ary -cubes with conditional edge faults

โœ Scribed by Shiying Wang; Shurong Zhang


Book ID
113927391
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
627 KB
Volume
412
Category
Article
ISSN
0304-3975

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Embedding Hamiltonian paths in augmented
โœ Chung-Meng Lee; Yuan-Hsiang Teng; Jimmy J.M. Tan; Lih-Hsing Hsu ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 694 KB

It is proved that there exists a path P l (x, y) of length l if d AQn (x, y) โ‰ค l โ‰ค 2 n -1 between any two distinct vertices x and y of AQ n . Obviously, we expect that such a path P l (x, y) can be further extended by including the vertices not in P l (x, y) into a hamiltonian path from x to a fixed