Title
Connectivity and constructive algorithms of disjoint paths in dragonfly networks
Abstract
Dragonfly networks have been widely used in the current High Performance Computing (HPC) computers due to lower global network diameter and other advantages of communication performance such as modularity and cost-effectiveness. The original definition of the dragonfly network was very loose on account of its uncertain and diversified global link arrangements. In this paper, we study the logical structure of the dragonfly network which can be treated as a compound graph of complete graphs. Firstly, we give the general definition of the dragonfly network, named DF(n,h,g), and the specific definition of the dragonfly network under the relative global link arrangement, named D(n,h). Then, we prove that the connectivity of D(n,h) is n−1+h. In the end, we propose an O(n) algorithm to give the disjoint path between any two distinct vertices in D(n,h) and analyze the maximum length of these disjoint paths which is no more than 7.
Year
DOI
Venue
2022
10.1016/j.tcs.2022.04.028
Theoretical Computer Science
Keywords
DocType
Volume
Dragonfly networks,Connectivity,Disjoint path,Interconnection network
Journal
922
ISSN
Citations 
PageRank 
0304-3975
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Suying Wu100.34
Jianxi Fan271860.15
Baolei Cheng3252.76
Jia Yu447557.62
Yan Wang542.08