A New Family of Bridged and Twisted Hypercubes

  • Authors:
  • R. K. Das;K. Mukhopadhyaya;B. P. Sinha

  • Affiliations:
  • -;-;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1994

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Abstract

We show that by adding eight extra edges, referred to as bridges, to an n-cube (n/spl ges/4) its diameter can be reduced by 2, and by adding sixteen bridges to an n-cube (n/spl ges/6) its diameter can be reduced by 3. We also show that by adding (/sub m+1sup 4m/)+1(m/spl ges/2) bridges to an n-cube (n/spl ges/4m and n/spl ges/8) its diameter can be reduced by 2m and by adding 2(/sub msup 4m-3/)+1, (m