A structural property of enhanced hypercube

Dan Yuan; Hongmei Liu

doi:10.1117/12.2205839

3 December 2015 A structural property of enhanced hypercube

Dan Yuan, Hongmei Liu

Proceedings Volume 9794, Sixth International Conference on Electronics and Information Engineering; 97942W (2015) https://doi.org/10.1117/12.2205839
Event: Sixth International Conference on Electronics and Information Engineering, 2015, Dalian, China

Abstract

This work investigates the important properties related to adjacent structure of enhanced hypercube Q_n,k . It is observed that for any two vertices u, v in, Q_n,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.

Citation Download Citation

Dan Yuan and 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

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