Fault-Tolerant Panconnectivity of Augmented Cubes AQn
2019 ◽
Vol 30
(08)
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pp. 1247-1278
The augmented cube [Formula: see text] is a variation of the hypercube [Formula: see text]. This paper considers the fault-tolerant Panconnectivity of [Formula: see text]. Assume that [Formula: see text] and [Formula: see text]. We prove that for any two fault-free vertices [Formula: see text] and [Formula: see text] with distance [Formula: see text] in [Formula: see text], there exists a fault-free path [Formula: see text] of each length from [Formula: see text] to [Formula: see text] in [Formula: see text] if [Formula: see text], where [Formula: see text] is the number of faulty vertices in [Formula: see text]. Moreover, the bound is sharp.
1996 ◽
Vol 06
(01)
◽
pp. 127-136
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Keyword(s):
Keyword(s):
2021 ◽
pp. 1-16
Keyword(s):
Keyword(s):
1990 ◽
Vol 137
(4)
◽
pp. 253
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1990 ◽
Vol 137
(3)
◽
pp. 218
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1989 ◽
Vol 136
(6)
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pp. 485