Abstract
AbstractFollowing the recursive definition of the hypercube Qn, we define the augmented cube AQn. After showing that its graph is vertex‐symmetric, (2n − 1)‐regular, and (2n − 1)‐connected and that it has diameter ⌈n/2⌉, we describe optimal routing and broadcasting procedures. The augmented cube possesses several embeddable properties that the hypercube and its variations do not possess. © 2002 Wiley Periodicals, Inc.
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