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3 December 2015A structural property of enhanced hypercube
This work investigates the important properties related to adjacent structure of enhanced hypercube Qn,k . It is observed that for any two vertices u, v in, Qn,k (2 ≤ k ≤ n − 1, k ≠ n − 2) , if the distance d(u, v) = 2 , then there exactly exist two paths of length 2 joining u and v for n ≥ 5 . In other words, if u and v have a common neighbor, they exactly share two common neighbors. The result is very important to its diagnosability.
Dan Yuan andHongmei Liu
"A structural property of enhanced hypercube", Proc. SPIE 9794, Sixth International Conference on Electronics and Information Engineering, 97942W (3 December 2015); https://doi.org/10.1117/12.2205839
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Dan Yuan, Hongmei Liu, "A structural property of enhanced hypercube," Proc. SPIE 9794, Sixth International Conference on Electronics and Information Engineering, 97942W (3 December 2015); https://doi.org/10.1117/12.2205839