2023/05/29 by Liangyu Zhao, Arvind Krishnamurthy, Zhao, Liangyu +1
Computer Science · #Software-Defined Networks and 5G #Caching and Content Delivery #Opportunistic and Delay-Tolerant Networks
paper · pdf · doi:10.48550/arxiv.2305.18461
We present a strongly polynomial-time algorithm to generate bandwidth optimal allgather/reduce-scatter on any network topology, with or without switches. Our algorithm constructs pipeline schedules achieving provably the best possible bandwidth performance on a given topology. To provide a universal solution, we model the network topology as a directed graph with heterogeneous link capacities and switches directly as vertices in the graph representation. The algorithm is strongly polynomial-time with respect to the topology size. This work heavily relies on previous graph theory work on edge-disjoint spanning trees and edge splitting. While we focus on allgather, the methods in this paper can be easily extended to generate schedules for reduce, broadcast, reduce-scatter, and allreduce.