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Graph similarity search with edit distance constraint in large graph databases

Weiguo Zheng, Lei Zou, Xiang Lian, Dong Wang, Dongyan Zhao
2013 Proceedings of the 22nd ACM international conference on Conference on information & knowledge management - CIKM '13  
In this paper, we study the problem of graph similarity search, which retrieves graphs that are similar to a given query graph under the constraint of the minimum edit distance.  ...  Due to many real applications of graph databases, it has become increasingly important to retrieve graphs g (in graph database D) that approximately match with query graph q, rather than exact subgraph  ...  An interesting topic is to study graph similarity search, which retrieves all graphs g (in graph database D) that approximately match with q under some similarity measure constraint.  ... 
doi:10.1145/2505515.2505723 dblp:conf/cikm/ZhengZLWZ13 fatcat:2c4vvsubwfghvmhx35qmbkckey

Metric Indexing for Graph Similarity Search [article]

Franka Bause, David B. Blumenthal, Erich Schubert, Nils M. Kriege
2021 arXiv   pre-print
Finding the graphs that are most similar to a query graph in a large database is a common task with various applications.  ...  A widely-used similarity measure is the graph edit distance, which provides an intuitive notion of similarity and naturally supports graphs with vertex and edge attributes.  ...  A common task is to search a database containing a large number of graphs for those that are most similar to a given query graph.  ... 
arXiv:2110.01283v1 fatcat:4ax53ysapvbs3eqfl7h232ef3u

Exact and Inexact Graph Matching: Methodology and Applications [chapter]

Kaspar Riesen, Xiaoyi Jiang, Horst Bunke
2010 Managing and Mining Graph Data  
Graphs provide us with a powerful and flexible representation formalism which can be employed in various fields of intelligent information processing.  ...  The former approach aims at finding a strict correspondence between two graphs to be matched, while the latter is able to cope with errors and measures the difference of two graphs in a broader sense.  ...  Yet, using graph edit distance allows us to deal with a large class of graphs (directed, undirected, unlabeled, node and/or edge labels from any finite or infinite domain).  ... 
doi:10.1007/978-1-4419-6045-0_7 dblp:series/ads/RiesenJB10 fatcat:mr2bpz5xwnbiva5x3mxbzqrnhm

A partition-based approach to structure similarity search

Xiang Zhao, Chuan Xiao, Xuemin Lin, Qing Liu, Wenjie Zhang
2013 Proceedings of the VLDB Endowment  
A fundamental and critical query primitive is to efficiently search similar structures in a large collection of graphs. This paper studies the graph similarity queries with edit distance constraints.  ...  By dividing data graphs into variable-size nonoverlapping partitions, the edit distance constraint is converted to a graph containment constraint for candidate generation.  ...  Zhang were in part supported by NSFC61232006, NSFC61021004, ARC DP120104168, DP110102937 and DE120102144. C. Xiao was supported by FIRST Program, Japan and KAKENHI (23650047 and 25280039).  ... 
doi:10.14778/2732232.2732236 fatcat:yu4do4by7rgfhemjgm7edusf4u

Efficient Graph Similarity Joins with Edit Distance Constraints

Xiang Zhao, Chuan Xiao, Xuemin Lin, Wei Wang
2012 2012 IEEE 28th International Conference on Data Engineering  
In this paper, we study the graph similarity join problem that returns pairs of graphs such that their edit distances are no larger than a threshold.  ...  Graphs are widely used to model complicated data semantics in many applications in bioinformatics, chemistry, social networks, pattern recognition, etc.  ...  The fourth author was also supported in partial by ARC DP0987273 and DP0881779.  ... 
doi:10.1109/icde.2012.91 dblp:conf/icde/ZhaoXLW12 fatcat:uder5qe7onhi5ly4etwo4ia5iu

EmbAssi: Embedding Assignment Costs for Similarity Search in Large Graph Databases [article]

Franka Bause, Erich Schubert, Nils M. Kriege
2022 arXiv   pre-print
Empirically we show that for many real-world graphs our lower bounds are already close to the exact graph edit distance, while our index construction and search scales to very large databases.  ...  We introduce methods for answering nearest neighbor and range queries regarding this distance efficiently for large databases with up to millions of graphs.  ...  This renders similarity search regarding the graph edit distance in databases di cult, which is relevant in many applications.  ... 
arXiv:2111.07761v2 fatcat:2psp3up6bnaynmoxa4eaz2idnu

Graph edit distance: Accuracy of local branching from an application point of view

Mostafa Darwiche, Donatello Conte, Romain Raveaux, Vincent T'Kindt
2018 Pattern Recognition Letters  
In the context of graph-based representations, comparing and measuring the dissimilarities between graphs can be done by solving the Graph Edit Distance (GED) problem.  ...  Similarity search and graph matching are considered as final applications. Three experiments are conducted to evaluate the accuracy and efficiency of the heuristics.  ...  For instance, an unknown graph that models an object in an image must be compared with all graphs in a database of known objects in order to find similarities.  ... 
doi:10.1016/j.patrec.2018.03.033 fatcat:vkqnnyvp7vhxnhbctaa4bfzie4

Current Situation and Application of Graph Data Mining Technology

Mengke Zhang, Pingping Wei, Suzhi Zhang, Jiaxing Xu
2017 International Journal of Database Theory and Application  
With the setting up of social network, web network and other network in figure data, data mining technology has gradually become a hot research.  ...  mining, and graphic database development status.  ...  Graph search, graph database, graphic modeling, chemical map data and application in bioinformatics will be the hot research in the future.  ... 
doi:10.14257/ijdta.2017.10.3.01 fatcat:voyvocal3vf6vhvnb7yykl2vzm

Comparing stars

Zhiping Zeng, Anthony K. H. Tung, Jianyong Wang, Jianhua Feng, Lizhu Zhou
2009 Proceedings of the VLDB Endowment  
With the rapidly increasing amounts of graph data(e.g., chemical compounds and social network data), supporting scalable graph search over large graph databases becomes an important database research problem  ...  Unfortunately, the problem of graph edit distance computation is NP-Hard in general.  ...  In this scenario, similarity search becomes an appealing and natural choice. There are also a number of systems supporting similarity search over graph databases.  ... 
doi:10.14778/1687627.1687631 fatcat:gjpo5ulwljdmpmaae474vke3pm

Probabilistic Path Queries in Path Networks: An Effective and Efficient Clustering Methods

S. Valenteena Jafflet
2015 Journal of advance research in computer science & enigneering  
Some pervious works aim at finding the most likely SP (the path with largest probability to be SP), and others search the least-expected-weight path.  ...  In all these works, the definitions of the shortest path query are based on simple probabilistic models which can be converted into the multi-objective optimal issues on a weighted graph.  ...  In a specific market, the similarity among customers in market behavior can be modeled as a similarity graph. III.  ... 
doi:10.53555/nncse.v2i3.477 fatcat:ovqhiky5irdhxfoxbf2ivyx3m4

Edit distance from graph spectra

Robles-Kelly, Hancock
2003 Proceedings Ninth IEEE International Conference on Computer Vision  
This paper is concerned with computing graph edit distance.  ...  The edit costs are defined in terms of the a posteriori probability of visiting a site on the lattice. We demonstrate the method with results on a data-set of Delaunay graphs.  ...  The edit sequence delivers correspondences that are robust to structural error and can be used to cluster graphs into meaningful classes for purposes of image-database indexing and retrieval.  ... 
doi:10.1109/iccv.2003.1238347 dblp:conf/iccv/Robles-KellyH03 fatcat:ktrmlhn33jg5tn54b2ktwgkpze

Similar Supergraph Search Based on Graph Edit Distance

Masataka Yamada, Akihiro Inokuchi
2021 Algorithms  
The problem is to identify all graphs in a database that are similar to any subgraph of a query graph, where similarity is defined as edit distance.  ...  Our experiments show that the computation time increased exponentially as the distance threshold increased, but increased sublinearly with the number of graphs in the database.  ...  Most of methods for graph search problems use this graph edit distance to measure similarities among graphs.  ... 
doi:10.3390/a14080225 fatcat:q64qjvtff5drpau2xbtxiprh2m

Similarity Joins on Item Set Collections Using Zero-Suppressed Binary Decision Diagrams [chapter]

Yasuyuki Shirai, Hiroyuki Takashima, Koji Tsuruma, Satoshi Oyama
2013 Lecture Notes in Computer Science  
The main objective of our research is to efficiently find similar records between two data collections under the constraints of the number of added and deleted items.  ...  We also present the experimental results obtained by comparing their performance with other systems and the results obtained by using real huge data collections to demonstrate their efficiency in actual  ...  The objectives in these researches have been to find similar records based on "exact" matching under various constraints such as cosine measure, Jaccard similarity and edit distance.  ... 
doi:10.1007/978-3-642-37487-6_7 fatcat:3xx3aolz75fejnktvpbo543is4

Anytime and Distributed Approaches for Graph Matching

Zeina Abu-Aisheh
2016 ELCVIA Electronic Letters on Computer Vision and Image Analysis  
In the domain of GM, over the last decade, Graph Edit Distance (GED) has been given a specific attention due to its flexibility to match many types of graphs [2] .  ...  Moreover, DF does not exhaust memory as the number of pending tree search nodes is relatively small thanks to the depth-first search where the number of pending nodes, or so-called partial edit paths,  ...  GDR4GED is annotated with graph-level information like graph edit distances and their matching correspondences for some representative graph databases [10, 1] .  ... 
doi:10.5565/rev/elcvia.986 fatcat:ozvnj5jilba6zkvr6stnjzrkye

A Survey on Efficient Clustering Methods with Effective Pruning Techniques for Probabilistic Graphs

M. Balaganesh, G.Bharathikannan G.Bharathikannan
2015 International Journal of Computer Applications  
This paper provides a survey on K-NN queries, DCR query, agglomerative complete linkage clustering and Extension of edit-distance-based definition graph algorithm and solving decision problems under uncertainty  ...  This existing system give an beginning to Graph agglomeration aims to divide information into clusters per their similarities, and variety of algorithms are planned for agglomeration graphs, the pKwik  ...  Distance-constraint reachability plays a main and even critical role in a wide range of applications.  ... 
doi:10.5120/19979-0721 fatcat:htcebdqalba7xliy475o3hvuyi
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