Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  consider the fault hamiltonicity and the fault Hamiltonian connectivity of the augmented cubes AQ/sub n/. Assume that F /spl sube/ V(AQ/sub n/) /spl cup/ E(AQ/sub n/) and n /spl ges/ 4.  prove that AQ/sub n/ - F is Hamiltonian if |F| /spl les/ 2n-3 and that AQ/sub n/ - F is Hamiltonian connected if |F| /spl les/ 2n - 4. Moreover, these bounds are tight.
['Hong-Chun Hsu', 'L.P. Chiang', 'Jimmy J. M. Tan', 'Lih-Hsing Hsu']
I am writing a research paper on a idea Ring embedding in faulty augmented cubes
[{"from": "human", "value": "I am writing a research paper on a idea Ring embedding in faulty augmented cubes"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  consider the fault hamiltonicity and the fault Hamiltonian connectivity of the augmented cubes AQ/sub n/. Assume that F /spl sube/ V(AQ/sub n/) /spl cup/ E(AQ/sub n/) and n /spl ges/ 4.  prove that AQ/sub n/ - F is Hamiltonian if |F| /spl les/ 2n-3 and that AQ/sub n/ - F is Hamiltonian connected if |F| /spl les/ 2n - 4. Moreover, these bounds are tight."}]