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We present an exact algorithm for computing all common subgraphs with the maximum number of vertices across multiple graphs. Our approach is further extended to handle the connected Maximum Common Subgraph (MCS), identifying the largest…

Data Structures and Algorithms · Computer Science 2025-04-03 Johannes B. S. Petersen , Akbar Davoodi , Thomas Gärtner , Marc Hellmuth , Daniel Merkle

Subgraph complementation is an operation that toggles all adjacencies inside a selected vertex set. Given a graph \(G\) and a target class \(\mathcal{C}\), the Minimum Subgraph Complementation problem asks for a minimum-size vertex set…

Data Structures and Algorithms · Computer Science 2025-12-30 Juan Gutiérrez , Sagartanu Pal

Multigraph matching is a recent variant of the graph matching problem. In this framework, the optimization procedure considers several graphs and enforces the consistency of the matches along the graphs. This constraint can be formalized as…

Machine Learning · Computer Science 2022-10-12 François-Xavier Dupé , Rohit Yadav , Guillaume Auzias , S. Takerkart

The problem of finding the vertex correspondence between two noisy graphs with different number of vertices where the smaller graph is still large has many applications in social networks, neuroscience, and computer vision. We propose a…

Machine Learning · Statistics 2019-07-03 Daniel L. Sussman , Youngser Park , Carey E. Priebe , Vince Lyzinski

Subgraph matching is a fundamental building block for graph-based applications and is challenging due to its high-order combinatorial nature. Existing studies usually tackle it by combinatorial optimization or learning-based methods.…

Machine Learning · Computer Science 2023-06-13 Xuanzhou Liu , Lin Zhang , Jiaqi Sun , Yujiu Yang , Haiqin Yang

Graph matching is a fundamental problem in pattern recognition, with many applications such as software analysis and computational biology. One well-known type of graph matching problem is graph isomorphism, which consists of deciding if…

Artificial Intelligence · Computer Science 2023-12-18 Miguel Terra-Neves , José Amaral , Alexandre Lemos , Rui Quintino , Pedro Resende , Antonio Alegria

Graphs provide an efficient tool for object representation in various computer vision applications. Once graph-based representations are constructed, an important question is how to compare graphs. This problem is often formulated as a…

Machine Learning · Statistics 2010-04-30 Mikhail Zaslavskiy , Francis Bach , Jean-Philippe Vert

Graph pattern matching involves finding exact or approximate matches for a query subgraph in a larger graph. It has been studied extensively and has strong applications in domains such as computer vision, computational biology, social…

Databases · Computer Science 2012-08-02 Sutanay Choudhury , Lawrence Holder , George Chin , John Feo

Graph pattern matching is a routine process for a wide variety of applications such as social network analysis. It is typically defined in terms of subgraph isomorphism which is NP-Complete. To lower its complexity, many extensions of graph…

Databases · Computer Science 2018-04-13 Houari Mahfoud

Finding patterns in large highly connected datasets is critical for value discovery in business development and scientific research. This work focuses on the problem of subgraph matching on streaming graphs, which provides utility in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-22 Bibek Bhattarai , Howie Huang

Subgraph isomorphism, also known as subgraph matching, is typically regarded as an NP-complete problem. This complexity is further compounded in practical applications where edge weights are real-valued and may be affected by measurement…

Machine Learning · Statistics 2025-06-24 Arpan Kusari , Wenbo Sun

Recently there emerge many distributed algorithms that aim at solving subgraph matching at scale. Existing algorithm-level comparisons failed to provide a systematic view to the pros and cons of each algorithm mainly due to the intertwining…

Subgraph matching is a compute-intensive problem that asks to enumerate all the isomorphic embeddings of a query graph within a data graph. This problem is generally solved with backtracking, which recursively evolves every possible partial…

Databases · Computer Science 2020-12-29 Junya Arai , Makoto Onizuka , Yasuhiro Fujiwara , Sotetsu Iwamura

In this work, we propose a novel approach for subgraph matching, the problem of finding a given query graph in a large source graph, based on the fused Gromov-Wasserstein distance. We formulate the subgraph matching problem as a partial…

Information Theory · Computer Science 2024-07-01 Wen-Xin Pan , Isabel Haasler , Pascal Frossard

A geometric graph is a graph whose vertex set is a set of points in the plane and whose edge set contains straight-line segments. A matching in a graph is a subset of edges of the graph with no shared vertices. A matching is called perfect…

Computational Geometry · Computer Science 2016-10-21 Ahmad Biniaz

Homomorphism is a key mapping technique between graphs that preserves their structure. Given a graph and a pattern, the subgraph homomorphism problem involves finding a mapping from the pattern to the graph, ensuring that adjacent vertices…

Artificial Intelligence · Computer Science 2025-12-18 Shuyang Guo , Wenjin Xie , Ping Lu , Ting Deng , Richong Zhang , Jianxin Li , Xiangping Huang , Zhongyi Liu

Many real world networks are considered temporal networks, in which the chronological ordering of the edges has importance to the meaning of the data. Performing temporal subgraph matching on such graphs requires the edges in the subgraphs…

Data Structures and Algorithms · Computer Science 2018-01-25 Patrick Mackey , Katherine Porterfield , Erin Fitzhenry , Sutanay Choudhury , George Chin

Hypergraph matching has recently become a popular approach for solving correspondence problems in computer vision as it allows to integrate higher-order geometric information. Hypergraph matching can be formulated as a third-order…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Quynh Nguyen , Francesco Tudisco , Antoine Gautier , Matthias Hein

Symmetry plays a major role in subgraph matching both in the description of the graphs in question and in how it confounds the search process. This work addresses how to quantify these effects and how to use symmetries to increase the…

Data Structures and Algorithms · Computer Science 2023-01-10 Dominic Yang , Yurun Ge , Thien Nguyen , Jacob Moorman , Denali Molitor , Andrea Bertozzi

A GraphMaps is a system that visualizes a graph using zoom levels, which is similar to a geographic map visualization. GraphMaps reveals the structural properties of the graph and enables users to explore the graph in a natural way by using…

Computational Geometry · Computer Science 2018-08-14 Debajyoti Mondal , Lev Nachmanson