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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

Large graphs are difficult to represent, visualize, and understand. In this paper, we introduce "gate graph" - a new approach to perform graph simplification. A gate graph provides a simplified topological view of the original graph.…

Social and Information Networks · Computer Science 2016-11-18 Ning Ruan , Ruoming Jin , Yan Huang

Approximate subgraph matching (ASM) is a task that determines the approximate presence of a given query graph in a large target graph. Being an NP-hard problem, ASM is critical in graph analysis with a myriad of applications ranging from…

Machine Learning · Computer Science 2026-03-20 Kaiyang Li , Shihao Ji , Zhipeng Cai , Wei Li

We consider the enumeration of maximal bipartite cliques (bicliques) from a large graph, a task central to many practical data mining problems in social network analysis and bioinformatics. We present novel parallel algorithms for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-22 Arko Provo Mukherjee , Srikanta Tirthapura

Random graph matching refers to recovering the underlying vertex correspondence between two random graphs with correlated edges; a prominent example is when the two random graphs are given by Erd\H{o}s-R\'{e}nyi graphs $G(n,\frac{d}{n})$.…

Machine Learning · Statistics 2020-07-21 Jian Ding , Zongming Ma , Yihong Wu , Jiaming Xu

Consider two networks on overlapping, non-identical vertex sets. Given vertices of interest in the first network, we seek to identify the corresponding vertices, if any exist, in the second network. While in moderately sized networks graph…

Machine Learning · Statistics 2019-11-07 Heather G. Patsolic , Youngser Park , Vince Lyzinski , Carey E. Priebe

In this paper we introduce a new clustering technique called Regularity Clustering. This new technique is based on the practical variants of the two constructive versions of the Regularity Lemma, a very useful tool in graph theory. The…

Combinatorics · Mathematics 2012-10-01 Gábor N. Sárközy , Fei Song , Endre Szemerédi , Shubhendu Trivedi

Modern graph database query languages such as GQL, SQL/PGQ, and their academic predecessor G-Core promote paths to first-class citizens in the sense that paths that match regular path queries can be returned to the user. This brings a…

Databases · Computer Science 2022-07-28 Wim Martens , Matthias Niewerth , Tina Popp , Stijn Vansummeren , Domagoj Vrgoc

Applications based on image retrieval require editing and associating in intermediate spaces that are representative of the high-level concepts like objects and their relationships rather than dense, pixel-level representations like RGB…

Computer Vision and Pattern Recognition · Computer Science 2022-07-11 Rishi Agarwal , Tirupati Saketh Chandra , Vaidehi Patil , Aniruddha Mahapatra , Kuldeep Kulkarni , Vishwa Vinay

The success of large pretrained Transformers is closely tied to tokenizers, which convert raw input into discrete symbols. Extending these models to graph-structured data remains a significant challenge. In this work, we introduce a graph…

Machine Learning · Computer Science 2026-03-13 Zeyuan Guo , Enmao Diao , Cheng Yang , Chuan Shi

We present a novel graph-based neural network model for relation extraction. Our model treats multiple pairs in a sentence simultaneously and considers interactions among them. All the entities in a sentence are placed as nodes in a…

Computation and Language · Computer Science 2020-03-16 Fenia Christopoulou , Makoto Miwa , Sophia Ananiadou

A recent paper by Drewes, Hoffmann, and Minas (GCM 2023 proceedings) has shown that certain graph languages can be defined and efficiently recognized by finite automata when strings over typed symbols are interpreted as graphs. This…

Formal Languages and Automata Theory · Computer Science 2025-03-27 Mattia De Rosa , Mark Minas

Graph transformation formalisms have proven to be suitable tools for the modelling of chemical reactions. They are well established in theoretical studies and increasingly also in practical applications in chemistry. The latter is made…

Discrete Mathematics · Computer Science 2022-08-29 Jakob L. Andersen , Rolf Fagerberg , Juri Kolčák , Christophe V. F. P. Laurent , Daniel Merkle , Nikolai Nøjgaard

Graph pattern matching, which aims to discover structural patterns in graphs, is considered one of the most fundamental graph mining problems in many real applications. Despite previous efforts, existing systems face two main challenges.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-30 Tianhui Shi , Mingshu Zhai , Yi Xu , Jidong Zhai

This proposal presents a graph computing framework intending to support both online and offline computing on large dynamic graphs efficiently. The framework proposes a new data model to support rich evolving vertex and edge data types. It…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-08 Zhao Yu Dong

A simple graph $G=(V,E)$ is word-representable if there exists a word $w$ over the alphabet $V$ such that letters $x$ and $y$ alternate in $w$ iff $xy\in E$. Word-representable graphs generalize several important classes of graphs. A graph…

Combinatorics · Mathematics 2019-10-03 Özgür Akgün , Ian P. Gent , Sergey Kitaev , Hans Zantema

Acting on time-critical events by processing ever growing social media or news streams is a major technical challenge. Many of these data sources can be modeled as multi-relational graphs. Continuous queries or techniques to search for rare…

Databases · Computer Science 2013-03-12 Sutanay Choudhury , Lawrence B. Holder , Abhik Ray , George Chin , John T. Feo

Context: Edge graphs are graphs whose edges are labelled with identifiers, and nodes can have multiple edges between them. They are used to model a wide range of systems, including networks with distances or degrees of connection and…

Programming Languages · Computer Science 2024-03-05 Jack Liell-Cock , Tom Schrijvers

Analyzing massive complex networks yields promising insights about our everyday lives. Building scalable algorithms to do so is a challenging task that requires a careful analysis and an extensive evaluation. However, engineering such…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-19 Daniel Funke , Sebastian Lamm , Ulrich Meyer , Peter Sanders , Manuel Penschuck , Christian Schulz , Darren Strash , Moritz von Looz

Exchangeable random graphs serve as an important probabilistic framework for the statistical analysis of network data. In this work we develop an alternative parameterization for a large class of exchangeable random graphs, where the nodes…

Statistics Theory · Mathematics 2020-05-01 Jing Lei
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