ICDM '01 Proceedings of the 2001 IEEE International Conference on Data Mining
An Apriori-Based Algorithm for Mining Frequent Substructures from Graph Data
PKDD '00 Proceedings of the 4th European Conference on Principles of Data Mining and Knowledge Discovery
Applying the Subdue Substructure Discovery System to the Chemical Toxicity Domain
Proceedings of the Twelfth International Florida Artificial Intelligence Research Society Conference
SEuS: Structure Extraction Using Summaries
DS '02 Proceedings of the 5th International Conference on Discovery Science
Mining Molecular Fragments: Finding Relevant Substructures of Molecules
ICDM '02 Proceedings of the 2002 IEEE International Conference on Data Mining
gSpan: Graph-Based Substructure Pattern Mining
ICDM '02 Proceedings of the 2002 IEEE International Conference on Data Mining
SPIN: mining maximal frequent subgraphs from graph databases
Proceedings of the tenth ACM SIGKDD international conference on Knowledge discovery and data mining
A quickstart in frequent structure mining can make a difference
Proceedings of the tenth ACM SIGKDD international conference on Knowledge discovery and data mining
An Efficient Algorithm for Discovering Frequent Subgraphs
IEEE Transactions on Knowledge and Data Engineering
Mining Graph Data
Support measures for graph data*
Data Mining and Knowledge Discovery
Discovering Frequent Graph Patterns Using Disjoint Paths
IEEE Transactions on Knowledge and Data Engineering
Mining globally distributed frequent subgraphs in a single labeled graph
Data & Knowledge Engineering
Classifier construction by graph-based induction for graph-structured data
PAKDD'03 Proceedings of the 7th Pacific-Asia conference on Advances in knowledge discovery and data mining
Frequency concepts and pattern detection for the analysis of motifs in networks
Transactions on Computational Systems Biology III
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Data mining in structured and semi-structured data focuses on frequent data values. However, in graph data mining, the focus is on common specific topologies. Graph mining, although its ubiquity, is a difficult task since it requires subgraph isomorphism which is known to be NP-complete. In order to effectively prune the search space and thereby save computational time, a graph mining algorithm requires that the support measure of a pattern to be no greater than that of its subpatterns. This property of the support measure is referred to in the literature as the down-closure, anti-monotonicity or admissibility. Unfortunately, when mining a single labeled graph, simply counting the occurrences of a graph pattern may not have the down-closure property. For this, most existing approaches mine frequent substructures in a set of labeled graphs (called also the transactional setting) and few efforts have been devoted to mining frequent globally distributed substructures in a single labeled graph. In this paper, we propose a graph mining algorithm, called NODAR(Non-Overlapping embeDding based grAph mineR), for computing common and globally distributed substructures in a single labeled graph. NODAR adopts the Depth-First Search (DFS) strategy and is based on the SMNOES (Size of Maximum Non Overlapping Embedding Set) as support measure. The core idea of NODAR is to automatically extract frequent subpatterns; and thus without frequency computation thanks to the down-closure property of SMNOES. By adopting this strategy in the computation of frequent substructures, NODAR reduces the number of subgraph isomorphism tests needed to compute pattern frequencies. Experimental results on monograph and transactional graph databases; and comparison with well-known probabilistic and exact algorithms; prove the efficacy of NODAR.