“…Specifically, this article presents a survey of the state-of-the-art algorithms for graph comparisons, identifying the study of nondeterminism as a research domain still in its infancy. While variations of graph comparison have been extensively used for real-world problems such as protein matching in biology (Ma and Liao, 2020), identifying nondeterminism in HPC simulations (Bell et al, 2021), and social network comparison (Liu et al, 2016); Zhang and Philip, 2015), graph comparison methods have limited deployment in HPC nondeterminism. Furthermore, while there exist several surveys on different aspects of graph comparison, including the latest methods on graph isomorphism (Grohe and Schweitzer, 2020), subgraph isomorphism and mining (Jiang et al, 2013), and graph kernel methods (Kriege et al, 2020); Borgwardt et al, 2020), these articles do not explicitly focus on applying these methods to capture and interpret aspects of nondeterminism in HPC applications.…”