Motif Counting

Application Description

This benchmark counts all connected k-motifs in an undirected graph. A k-motif is a pattern (template subgraph) with k vertices.

Algorithm

The algorithm is called extend-reduce. A initial worklist contains initial embedding (single vertex or edge). It extends each embedding with a vertex, and insert the new embeddings to the next worklist. Extension is repeated until the size of embedding is k. Each embedding is checked to identify its pattern, the corresponding counter is increased by 1.

Performance

Graph	k=3 Time (s)	k=4 Time (s)
mico	0.1	108.0
patent_citations	0.5	122.1

Please read the following paper for detailed performance evaluation:

(VLDB 2020) [PDF] [Code]
Xuhao Chen, Roshan Dathathri, Gurbinder Gill, Keshav Pingali,
Pangolin: An Efficient and Flexible Graph Mining System on CPU and GPU,
PVLDB, 13(8): 1190-1205, 2020

Machine Description

Performance numbers are collected on a 4 package (14 cores per package) Intel(R) Xeon(R) Gold 5120 CPU machine at 2.20GHz from 1 thread to 56 threads in increments of 7 threads. The machine has 192GB of RAM. The operating system is CentOS Linux release 7.5.1804. All runs of the Galois benchmarks used gcc/g++ 7.2 to compile.