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A Simple and Practical Concurrent Non-blocking Unbounded Graph with Reachability Queries

2018/09/04 by Bapi Chatterjee, Chatterjee, Bapi, Sathya Peri +5
Computer Science · #Distributed #FOS: Computer and information sciences #Parallel #and Cluster Computing (cs.DC) #cs.DC

paper · pdf · doi:10.48550/arxiv.1809.00896

10 pages, 5 figs, submitted to ICDCN-2019

arxiv created 2019/01/14 · arxiv updated 2019/01/16

Abstract

Graph algorithms applied in many applications, including social networks, communication networks, VLSI design, graphics, and several others, require dynamic modifications -- addition and removal of vertices and/or edges -- in the graph. This paper presents a novel concurrent non-blocking algorithm to implement a dynamic unbounded directed graph in a shared-memory machine. The addition and removal operations of vertices and edges are lock-free. For a finite sized graph, the lookup operations are wait-free. Most significant component of the presented algorithm is the reachability query in a concurrent graph. The reachability queries in our algorithm are obstruction-free and thus impose minimal additional synchronization cost over other operations. We prove that each of the data structure operations are linearizable. We extensively evaluate a sample C/C++ implementation of the algorithm through a number of micro-benchmarks. The experimental results show that the proposed algorithm scales well with the number of threads and on an average provides 5 to 7x performance improvement over a concurrent graph implementation using coarse-grained locking.

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