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Class of optimal damage-resistant communication nets

Class of optimal damage-resistant communication nets

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It is shown that the product Kn×Kn of the complete graph Kn with itself is an optimal damage-resistant net in the Boesch and Thomas sense, i.e. Kn×Kn is optimally invulnerable to disconnection by either vertex or line removal.

References

    1. 1)
      • F.T. Boesch , R.E. Thomas . On graphs of invulnerable communication nets. IEEE Trans. , 183 - 192
    2. 2)
      • F. Harary . (1969) , Graph theory.
    3. 3)
      • B.R. Myers . Hamiltonian factorization of the product of a complete graph with itself. Networks J.
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