2 College of Mathematics & System Science [Xinjiang]
3 Department of computer science [Guangzhou]
Let n, s be positive integers such that 2 ≤ s < n and s = n/2 . An undirected double-loop network G(n; 1, s) is an undirected graph (V,E), where V =Zn={0, 1, 2, . . . , n−1} and E={(i, i+1 (mod n)), (i, i+s (mod n)) | i ∈ Z}. It is a circulant graph with n nodes and degree 4. In this paper, the sufficient and necessary conditions for a class of undirected double-loop networks to be optimal are presented. By these conditions, 6 new optimal and 5 new suboptimal infinite families of undirected double-loop networks are given.
Yebin Chen;Ying Li;Weipeng Tai;Xiao Zheng, 2014 Second International Conference on Advanced Cloud and Big Data, Research on Undirected Double-Loop Data Center Networks, pp. 180-183, 2014, Huangshan, China, 10.1109/cbd.2014.30.