Chen, Bao-Xing and Meng, Ji-Xiang and Xiao, Wen-Jun - Some new optimal and suboptimal infinite families of undirected double-loop networks

dmtcs:377 - Discrete Mathematics & Theoretical Computer Science, January 1, 2006, Vol. 8
Some new optimal and suboptimal infinite families of undirected double-loop networks

Authors: Chen, Bao-Xing and Meng, Ji-Xiang and Xiao, Wen-Jun

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.


Volume: Vol. 8
Published on: January 1, 2006
Submitted on: March 26, 2015
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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