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doi:10.1016/0020-0190(95)00040-J    
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Copyright © 1995 Published by Elsevier Science B.V.

On generalized twisted cubes

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Paul CullE-mail The Corresponding Author and Shawn M. LarsonCorresponding Author Contact Information, E-mail The Corresponding Author

Department of Computer Science, Oregon State University, Corvallis, OR 97331-3202, USA


Received 1 December 1994. 
Communicated by S.G. Akl 
Available online 5 April 2000.

Abstract

We briefly survey some of the results on twisted cubes which have been published in the last decade. We point out that a number of n-dimensional twisted cubes with diameter about n/2 are known. These twisted cubes are better than the recent left ceiling2n/3right ceiling diameter twisted cube given by F. Chedid and R. Chedid (1993). We discuss embedding other networks within twisted cubes and point out an error in one supposed embedding given by Chedid and Chedid.

Author Keywords: Computer architecture; Hypercube; Diameter; Connectivity; Algorithms; Routing algorithms; Hamiltonian cycle; Complete binary tree

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