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Graph theoretic reliability analysis for the Boolean n cube networks

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4 Author(s)
C. S. Yang ; Nat. Cheng Kung Univ., Tainan, Taiwan ; J. F. Wang ; J. Y. Lee ; F. T. Boesch

Two graph-theoretic results concerning Boolean n-cube network reliability are presented. First, a simple formula for the number of spanning trees of the Boolean n-cube network is derived. As a result, the reliability function for large failure rate can be readily computed. Second, the Boolean n-cube network is proved to have the super-line-connectivity property. Thus the number of line-disconnecting sets (a set of lines the removal of which results in a disconnected or trivial graph) or order λ for the Boolean n -cube network is equal to 2n

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IEEE Transactions on Circuits and Systems  (Volume:35 ,  Issue: 9 )