Title
Random Regular Graph and Generalized De Bruijn Graph with k-Shortest Path Routing
Abstract
Random regular graph (RRG) has recently been proposed as an interconnect topology for future large scale data centers and HPC clusters. While various studies have been performed, this topology is still not well understood. RRG is a special case of directed regular graph (DRG) where each link is unidirectional and all nodes have the same number of incoming and outgoing links. In this work, we establish bounds for DRG on diameter, average k-shortest path length, and a load balancing property with k-shortest path routing, and use these bounds to evaluate RRG. The results indicate that RRG with k-shortest path routing is not ideal in terms of diameter and load balancing. We further consider the Generalized De Bruijn Graph (GDBG), a deterministic DRG, and prove that for most network configurations, GDBG is near optimal in terms of diameter, average k-shortest path length, and load balancing with a k-shortest path routing scheme. Finally, we explore the strengths and weaknesses of RRG for different traffic conditions by comparing RRG with GDBG.
Year
DOI
Venue
2018
10.1109/IPDPS.2016.44
2016 IEEE International Parallel and Distributed Processing Symposium (IPDPS)
Keywords
DocType
Volume
network,topology,random regular graph,generalized De Bruijn graph,k-shortest path routing
Journal
29
Issue
ISSN
ISBN
1
1530-2075
978-1-5090-2141-3
Citations 
PageRank 
References 
2
0.40
10
Authors
5
Name
Order
Citations
PageRank
Peyman Faizian140.79
Md Atiqul Mollah252.17
Xin Yuan3108992.27
Scott Pakin41098134.55
Michael Lang 00035345.13